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Tool to classify manifolds within a homotopy type in dim > 4
In the mathematical surgery theory, the surgery exact sequence is the main technical tool to calculate the surgery structure set of a compact manifold
Surgery_exact_sequence
Techniques in topology used to produce one finite-dimensional manifold from another
surgery exact sequence is the long exact sequence induced by a fibration sequence of spectra. This implies that all the sets involved in the sequence
Surgery_theory
American mathematician (1934–2025)
sphere Kervaire invariant Normal invariant Signature (topology) Surgery exact sequence Quinn, Frank, ed. (1995), Prospects in topology: proceedings of
William Browder (mathematician)
William_Browder_(mathematician)
Smooth manifold that is homeomorphic but not diffeomorphic to a sphere
development of surgery theory. In fact, these calculations can be formulated in a modern language in terms of the surgery exact sequence as indicated here
Exotic_sphere
Algebra term
provide a less exact generalization. L-groups are central objects in surgery theory, forming one of the three terms of the surgery exact sequence. Reduced height
Witt_group
2009 film by Tom Six
The Human Centipede (First Sequence) is a 2009 Dutch body horror film written, directed and co-produced by Tom Six. The independent film concerns a deranged
The Human Centipede (First Sequence)
The_Human_Centipede_(First_Sequence)
{S}}^{s}(X)} . The basic tool to compute the simple structure set is the surgery exact sequence. Topological Spheres: The generalized Poincaré conjecture in the
Surgery_structure_set
Concept in geometric topology
be identified with the surgery exact sequence of M {\displaystyle M} . This may be called the fundamental theorem of surgery theory and was developed
Assembly_map
Cancer of the colon or rectum
et al. (July 2002). "The colorectal adenoma-carcinoma sequence". The British Journal of Surgery. 89 (7): 845–860. doi:10.1046/j.1365-2168.2002.02120.x
Colorectal_cancer
Sequencing all the DNA of an individual at once
genome sequencing, is the process of determining the entirety of the DNA sequence of an organism's genome at a single time. This entails sequencing all of
Whole_genome_sequencing
Painful disease restricting movement
significantly when touched. The exact cause in most cases is unknown. The condition can also occur after injury or surgery to the shoulder. The underlying
Adhesive capsulitis of the shoulder
Adhesive_capsulitis_of_the_shoulder
Type of surgical theatre
minimally-invasive surgery. Minimally-invasive surgery is intended to be less traumatic for the patient and minimize incisions on the patient and perform surgery procedure
Hybrid_operating_room
American medical television drama series
issues. Strand and Pendergrass added that they did not order the sequences in exact chronological order, having some scenes that were happening simultaneously
The_Pitt
Whether a manifold which is a homotopy sphere is a sphere
comes down to determining the elements of the Kervaire-Milnor short exact sequence of groups 0 → b P n + 1 → Θ n → π n S / ( I m a g e ( J n ) ) → 0 {\displaystyle
Generalized Poincaré conjecture
Generalized_Poincaré_conjecture
Bone development disease
ability to walk, which can have a dramatic impact on the quality of life. The exact cause is usually not identified. Both genetic and environmental factors
Clubfoot
Form of gas laser
laser. The population inversion in the laser is achieved by the following sequence: electron impact excites the {v1(1)} quantum vibrational modes of nitrogen
Carbon-dioxide_laser
Unequal blood supply among multiple fetuses in the womb leading to deformity
center for the procedure. Twin anemia–polycythemia sequence (TAPS) may occur after laser surgery for TTTS (post-laser form). The spontaneous form of
Twin-to-twin transfusion syndrome
Twin-to-twin_transfusion_syndrome
Medical condition
or botulinum toxin injections may be used in those who do not improve. Surgery is not typically recommended. The frequency of the condition is unknown
Piriformis_syndrome
Medical test involving extraction of sample cells or tissues for examination
breast cancer. Examination of the full mastectomy specimen would confirm the exact nature of the cancer (subclassification of tumor and histologic "grading")
Biopsy
Class of artificial neural network
This enables RNNs to capture temporal dependencies and patterns within sequences. The fundamental building block of RNN is the recurrent unit, which maintains
Recurrent_neural_network
Benign smooth-muscle tumors of the uterus
but possible that fibroids may make it difficult to become pregnant. The exact cause of uterine fibroids is unclear. However, fibroids run in families
Uterine_fibroid
Malformation of the central digit(s) of the hand or foot
can be a spontaneous mutation during pregnancy (de novo mutation). The exact chromosomal defect in isolated cleft hand is not yet defined. However, the
Ectrodactyly
British mathematician and professor (1948–2018)
Mathematical Sciences (Edinburgh) in summer 2020. Exact sequences in the algebraic theory of surgery, Princeton University Press, 1981. Lower K and L Theory
Andrew_Ranicki
Medical technology
technology allows researchers to make much more precise genome changes at exact locations. Cost – alipogene tiparvovec (Glybera), for example, at a cost
Gene_therapy
Type of inflammatory bowel disease
autoimmune disease (the immune system is not triggered by the body itself). The exact underlying immune problem is not clear, though it may be immunodeficiency
Crohn's_disease
Condition in which a bodily orifice or passage is closed or absent
disease frequently affects young patients, minimally invasive surgery, such as thoracoscopic surgery, is advised. Choanal atresia (CA) is a rare but well-known
Atresia
2023 Indian film by Sandeep Reddy Vanga
performances, direction, screenwriting, soundtrack, cinematography, action sequences and technical aspects but faced severe criticism for its themes and graphic
Animal_(2023_Indian_film)
City in West Yorkshire, England
central areas of Leeds is overwhelmingly urban. Attempts to define the exact geographic meaning of Leeds lead to a variety of concepts of its extent
Leeds
Medical condition
that curtails fetal movement can result in congenital contractures. The exact causes of arthrogryposis are unknown. The malformations of arthrogryposis
Arthrogryposis
2022 video game
Interactive, Jetpack Interactive, Super Genius, and Original Force. The exact contribution from each studio was not detailed, except SuperAlloy, which
God_of_War_Ragnarök
Excess accumulation of fluid in the brain
The extent and severity of the symptoms of cerebral edema depend on the exact etiology but are generally related to an acute increase of the pressure
Cerebral_edema
Invariant of mathematical knots
of the most interesting aspects of Khovanov's homology is that its exact sequences are formally similar to those arising in the Floer homology of 3-manifolds
Khovanov_homology
Procedure to disinfect and fortify the interior of a tooth
endodontic therapy, endodontic treatment, or root canal therapy) is a treatment sequence for the infected pulp of a tooth—an abscess—that is intended to result
Root_canal_treatment
2023 film by Sean Durkin
shoulder during a match and goes into a toxic shock-induced coma during surgery. Mike narrowly emerges from his coma with noticeable brain damage and is
The_Iron_Claw_(film)
Species of virus
used for transfer RNAi, which may find use as gene therapy for cancer. The exact origins and emergence of FIV in felids is unknown; however, studies of viral
Feline_immunodeficiency_virus
the bottom, as Perempuán did. The last seconds of The Platform 2 show the exact next moment after the first film concluded. Identified offscreen as Amy
List of films with post-credits scenes
List_of_films_with_post-credits_scenes
2023 video game
player is accidentally embedded in his chest during experimental cybernetic surgery funded by the corrupt Vandelay Technologies, allowing him to rhythmically
Hi-Fi_Rush
Small domesticated carnivorous mammal
whereas the domestic cat evolved through artificial selection. The genome sequence of the domestic cat was first published in 2007 and is available at the
Cat
Protein family
insulin action (see NPH insulin). Protamine is used in cardiac surgery, vascular surgery, and interventional radiology procedures to neutralize the anti-clotting
Protamine
Penetrative sexual activity for reproduction or sexual pleasure
Reconstructive surgery remains an option for women who have experienced benign and malignant conditions. Men and women who have undergone extensive surgery should
Sexual_intercourse
in my mind is the ultimate entertainer of our generation. I can remember exact moments of my life based on Michael Jackson songs and videos." Fall Out
Cultural impact of Michael Jackson
Cultural_impact_of_Michael_Jackson
Minor form of stroke
at presentation and a differential diagnosis including many mimics, the exact incidence of the disease is unclear. It was estimated to have an incidence
Transient_ischemic_attack
Literary technique used to persuade
from their ordinary or literal usage, while schemes are variations in the sequence, or the usual expected order, of words. Scheme comes from the Greek schēma
Literary_device
Australian independent-animated web series
blue hoodie with blue jay wing patterns on each shoulder, starting from "Sequence Break" (episode 4).[citation needed] On 25 August 2018, an episode titled
Meta_Runner
1937 airship fire in the US
beyond the repaired area. While no photographs are known to capture the exact moment of ignition, a study published in 2025 by digital imaging historian
Hindenburg_disaster
Medical imaging technique
gradient coils causes a selected region of the patient to experience the exact magnetic field required for the energy to be absorbed. The atoms are excited
Magnetic_resonance_imaging
Medical condition
sometimes addressed through surgery. For some with tightly webbed, bent knees or knees that are fused straight, disarticulation surgery at the knee may be a
Caudal_regression_syndrome
Type of neurofibromatosis disease
affected patients. Approximately 25% of patients will require corrective surgery. Skeletal muscle weakness and motor control deficits Deficits in motor
Neurofibromatosis_type_I
2005 American thriller film by David Slade
if she spares his life, he will tell her the other man's name so she can exact her revenge. Hayley reveals that she has already spoken to the other man
Hard_Candy_(film)
Series of events that restore integrity to damaged tissue after an injury
against the external environment. When the barrier is broken, a regulated sequence of biochemical events is set into motion to repair the damage. This process
Wound_healing
Otto Fibonacci, who saw him order the deaths of two men. Abruzzi plans to exact revenge on Fibonacci, who entered the witness protection program. In the
List of Prison Break characters
List_of_Prison_Break_characters
South (informally, JetBlue Park) in Fort Myers, Florida. JetBlue is an exact copy of Fenway, including a full-sized Green Monster. The Red Sox' mascot
Glossary_of_baseball_terms
Medical condition
treatment is by various non-surgical measures such as biofeedback, or surgery. The most common surgical treatment for IRP is ventral rectopexy. IRP is
Internal_rectal_prolapse
— George Stinney, African-American child and youngest American with an exact age executed by the United States (16 June 1944), on whether he had any
List of last words (20th century)
List_of_last_words_(20th_century)
American musician (1942–2025)
hearing in his right ear. The issue was diagnosed as a nerve impingement. The exact cause remains unclear. Due to this infirmity, Wilson developed a habit of
Brian_Wilson
Abnormal connection between the arteries and veins in the brain
sensitive than CT in the diagnosis, and provides better information about the exact location of the malformation. More detailed pictures of the tangle of blood
Cerebral arteriovenous malformation
Cerebral_arteriovenous_malformation
2020 British television series
reviews from critics, who praised its performances, narrative, and action sequences, though some criticism was aimed at its excessive violence. The series
Gangs_of_London_(TV_series)
arrest. One of them was shot in the head from a close distance, with the exact circumstances of the incident being unclear. The officer asserted that he
List of killings by law enforcement officers in pre-reunification Germany
List_of_killings_by_law_enforcement_officers_in_pre-reunification_Germany
Polymer produced by a living organism
defining characteristic (example: lignocellulose): The exact chemical composition and the sequence in which these units are arranged is called the primary
Biopolymer
herself being wheeled into surgery He sends her dead roses to suggest she's missed her chance. As Drake recovers from brain surgery, a nurse informs a physician
List of characters in the Life on Mars franchise
List_of_characters_in_the_Life_on_Mars_franchise
Legacy of the 1999 Columbine massacre
initial instance. Nevertheless, not all research concurs with this timing sequence. One state's school shooting can influence the probability of shootings
Columbine_effect
Branch of mathematics
[{\mathcal {E}}]=[{\mathcal {E}}']+[{\mathcal {E}}'']} if there is a short exact sequence 0 → E ′ → E → E ″ → 0. {\displaystyle 0\to {\mathcal {E}}'\to {\mathcal
K-theory
Earliest anatomically modern humans in Europe and West Asia
emotional or symbolic ties rather than purely materialistic personal gain. The exact utility of these proto-dogs is unclear, but they may have played a vital
Cro-Magnon
2001 film by Ridley Scott
prepare for the role. For one of the film's final and infamous scenes, an exact duplicate was created of the character Paul Krendler, played by Ray Liotta
Hannibal_(2001_film)
Season of television series
adding up", also noting the use of historical references and the title sequence. On the other hand, after watching the first episode of the first season
Designated_Survivor_season_1
Season of television series
The fight sequence between the two Clarks originally had more choreographed shots, but had to be cut down to five actions, as the fight sequence was pushing
Smallville_season_2
Medical condition
associated with any given mutation varies significantly and depends on the exact type and location of the mutation and possibly other individual factors
BRCA_mutation
2015 Indian film by Sanjay Leela Bhansali
an action sequence and was rushed to hospital; he was not seriously injured. In May 2015, however, he injured his shoulder and needed surgery; he resumed
Bajirao_Mastani
danger, so he attempts to lessen his guilt by arguing that she would do the exact same thing and by thinking of times when he helped her. His efforts end
List of The King of Queens episodes
List_of_The_King_of_Queens_episodes
2018 Chinese historical series
prunus mume plant once nurtured by Ruyi begins to blossom. The ending sequence states that no woman from the Ula Nara clan entered the harem after Ruyi's
Ruyi's Royal Love in the Palace
Ruyi's_Royal_Love_in_the_Palace
2019 South Korean television series
means "Where Dawn Arrives". This is where Moh-wa learned vaccination and surgery. A conservative reaction ensued, led by Min Ik-pyeong. A forged letter
Rookie Historian Goo Hae-ryung
Rookie_Historian_Goo_Hae-ryung
Season of television series
praised the character interactions, but described the lengthy flashback sequences as "disposable" and argued that at times the anime's pacing was not sympathetic
One_Piece_season_19
Hand gesture
for either "10", "30", "100", or "300", the exact number being determined by which hand was used and the exact point of contact between thumb and forefinger
OK_gesture
Expulsion of fluid during orgasm
through and around the urethra has also been a topic of discussion; while the exact source and nature of the fluid remains controversial among medical professionals
Female_ejaculation
Indian television drama series
bad omen for the baby. Omkar forces Mayura to have plastic surgery. She fakes her surgery, and Omkar kicks Mayura out and forbids her from seeing her
Pinjara_Khubsurti_Ka
Question of the race of ancient Egyptians
Kushitic, Egyptian, Omotic and Semitic languages. There is no agreement on the exact origin of the proto-language but most linguists are supportive of an African
Ancient Egyptian race controversy
Ancient_Egyptian_race_controversy
Island country in the Pacific Ocean
a planned and deliberate event that occurred over several decades. The exact date of this settlement is unclear, with recent sources favouring settlement
New_Zealand
British actress (1916–2020)
diagnosed with appendicitis that morning and rushed into surgery. Following her emergency surgery, de Havilland began a long period of convalescence in a
Olivia_de_Havilland
French comics author (1938–2012)
appreciate in his early formative years, with compositions often approaching an exact match. Giraud acknowledged this influence directly, praising Doré's work
Jean_Giraud
protective uncle, chef Freddie Moreno(Freddie Prinze Jr.) has harbored the exact same suspicions about Max's profile and has assumed his niece's identity
List_of_George_Lopez_episodes
Species of mammal
introduced—illegally—in New Zealand with less success due to improper timing. The exact date on which the European rabbit was introduced into Chile is unknown,
European_rabbit
Benign cartilaginous tumor which grows on the surface of a bone
immunohistochemistry and multiple sequence alignment supports the cause of MO being a mutation in EXT1 gene. However, the exact molecular mechanism of multiple
Osteochondroma
Signs and symptoms of pregnancy without the presence of a fetus
Duration of symptoms typically ranges from several weeks to nine months. The exact mechanisms behind false pregnancy are not completely understood, but psychological
False_pregnancy
Disease affecting bone remodeling
result in deformity, pain, fracture or arthritis of associated joints. The exact cause is unknown, although leading theories indicate both genetic and acquired
Paget's_disease_of_bone
Medical condition
(PMPS) is used to describe persistent neuropathic pain that follows breast surgery, such as mastectomy and lumpectomy. PMPS manifests as pain in the arm,
Post-mastectomy_pain_syndrome
Medical condition
the skin. Lichen sclerosus increases the risk of penile cancer. As the exact cause of lichen sclerosus is unknown, there is no known way to prevent it
Penile_cancer
Winners of satirical science award
Carolina, "farsighted and faithful seer of statistics", for calculating the exact odds (710,609,175,188,282,000 to 1) that Mikhail Gorbachev is the Antichrist
List of Ig Nobel Prize winners
List_of_Ig_Nobel_Prize_winners
Chemical compound found in some species of mushrooms
psilocybin, is a substrate of the monoamine oxidase (MAO) enzyme MAO-A. The exact extent to which psilocin (and by extension psilocybin) is metabolized by
Psilocybin
Disorder of depression and mood episodes
The causes of bipolar disorder likely vary between individuals and the exact mechanism underlying the disorder remains unclear. Genetic influences are
Bipolar_disorder
Unsolved murders of teenage girl and domestic worker
were conflicting media reports about the exact sequence of events, which was somewhat like this: Possible sequence of events according to CBI Joint Director
2008_Noida_double_murder_case
Neurodevelopmental disorder involving motor and vocal tics
an account of nine patients with a "convulsive tic disorder". While the exact cause is unknown, it is believed to involve a combination of genetic and
Tourette_syndrome
Fictional criminal created by Richard Stark
double-cross him. Should that happen, Parker will unhesitatingly undertake to exact a thorough and brutal revenge. Parker is callous, meticulous, and perfectly
Parker (Stark novels character)
Parker_(Stark_novels_character)
firearms officers is posted online, Helena's brother Bruno decides to his exact his revenge. Later, firearms officer Jo Keating is found dead, having been
List of Silent Witness episodes
List_of_Silent_Witness_episodes
1985 film by Terry Gilliam
have repossessed his apartment. Tuttle appears in secret and helps him exact revenge on the two Central Services workers by filling their environment
Brazil_(1985_film)
Probability distribution
distribution of surgery duration for a category of surgeries with no typical work-content (like in an emergency room, encompassing all types of surgeries). Having
Exponential_distribution
Type of organ transplantation
health, technical success of the surgery, and the underlying disease process affecting the liver. There is no exact model to predict survival rates; those
Liver_transplantation
Skin condition characterized by pimples
Propionibacterium acnes) contributes to the development of acne, but its exact role is not well understood. There are specific sub-strains of C. acnes
Acne
Venetian adventurer and writer (1725–1798)
A New History of Cataract Surgery. Part 7. The History of Intraocular Lenses and Optical Correction after Cataract Surgery. pages 49-98. Amsterdam: Wayenborgh
Giacomo_Casanova
2010 Indian film by Karan Johar
to distribute the film was announced in August; however, the company's exact paid amount for the rights was disputed, with unconfirmed estimations ranging
My_Name_Is_Khan
nonnegative integer appear in Recamán's sequence? Skolem problem: can an algorithm determine if a constant-recursive sequence contains a zero? The values of g(k)
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Boy/Male
Hindu, Indian
Exact; Alert
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Surname or Lastname
English (Surrey)
English (Surrey) : unexplained. Compare Moad.
Surname or Lastname
English
English : regional name for someone from the county of Surrey, so named from Old English sūther ‘southerly’ + gē ‘district’, possibly a reference to its position south of the Thames.
Boy/Male
Indian, Punjabi, Sikh
Exact Love
Male
Russian
Variant spelling of Russian Sergei, possibly SERGEY means "sergeant."
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Surname or Lastname
English
English : variant of Essary. Compare Ussery.
Surname or Lastname
English
English : from Middle English, Old French sur(ri)gien (from a derivative of Late Latin chirurgia ‘handiwork’), hence an occupational name for a person who performed operations, mostly amputations. Before the advent of anaesthetics, only crude surgery was possible, and the calling was often combined with that of the barber or bath house attendant.French : topographic name for someone who lived close to a gushing spring.
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Girl/Female
American, Australian, British, Christian, English, French, German, Greek, Latin
Pearl
Boy/Male
Australian, Latin
Servant; Attendant; Loyal; Worshipper
Boy/Male
Shakespearean
King Henry IV, Part 2' Earl of Surrey, one of the King's party. 'King Henry the Eighth' Earl of...
Surname or Lastname
English
English : variant of Sargent.
Surname or Lastname
English (Surrey)
English (Surrey) : unexplained. Compare Copas, Copus.
Surname or Lastname
English (Surrey)
English (Surrey) : possibly a variant of Odell.
Female
English
Medieval form of English Margaret, MARGERY means "pearl."
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
Male
Hebrew
(טï‹×‘ִת) Variant spelling of Hebrew Tobit, TOVIT means "good."Â
Girl/Female
Australian, Hawaiian, Hebrew
Healed by God; Healer
Girl/Female
Tamil
Beauty
Boy/Male
Welsh
farmer'.
Boy/Male
Sikh
Triumph for gods name, Triumph of the inseparable creator
Female
Spanish
Pet form of Spanish Rosario, CHARO means "rosary."
Girl/Female
Assamese, Indian, Tamil
Word of God
Girl/Female
Indian, Punjabi
Oak Tree; From the Woods
Girl/Female
Muslim
Trustworthy, Honest, Truthful
Biblical
effusion; inclination; theft
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
v. t.
To render pure or refined; to intensify or concentrate; as, to exalt the juices of bodies.
n.
Operative surgery.
n.
Surgery.
a.
Of or pertaining to summer; like summer; as, a summery day.
n.
A particular view; an examination, especially an official examination, of all the parts or particulars of a thing, with a design to ascertain the condition, quantity, or quality; as, a survey of the stores of a ship; a survey of roads and bridges; a survey of buildings.
a.
Of or pertaining to surgeons or surgery; done by means of surgery; used in surgery; as, a surgical operation; surgical instruments.
a.
Rising in surges or billows; full of surges; resembling surges in motion or appearance; swelling.
n.
Any one of numerous species of chaetodont fishes of the family Teuthidae, or Acanthuridae, which have one or two sharp lancelike spines on each side of the base of the tail. Called also surgeon fish, doctor fish, lancet fish, and sea surgeon.
n.
That which forms and educates; as, commerce is the nursery of seamen.
n.
Surgery.
a.
Habitually careful to agree with a standard, a rule, or a promise; accurate; methodical; punctual; as, a man exact in observing an appointment; in my doings I was exact.
a.
Precisely agreeing with a standard, a fact, or the truth; perfectly conforming; neither exceeding nor falling short in any respect; true; correct; precise; as, the clock keeps exact time; he paid the exact debt; an exact copy of a letter; exact accounts.
a.
Fond of sugar or sweet things; as, a sugary palate.
imp. & p. p.
of Surge
a.
To demand or require authoritatively or peremptorily, as a right; to enforce the payment of, or a yielding of; to compel to yield or to furnish; hence, to wrest, as a fee or reward when none is due; -- followed by from or of before the one subjected to exaction; as, to exact tribute, fees, obedience, etc., from or of some one.
a.
Abounding in surges; surgy.
v. t.
To act as surety for.
adv.
By means of surgery.
v. t.
To elevate in rank, dignity, power, wealth, character, or the like; to dignify; to promote; as, to exalt a prince to the throne, a citizen to the presidency.