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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
{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
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)
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
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
Neurological condition involving the crossing of senses
synesthesia, letters or numbers are perceived as inherently colored. In spatial-sequence, or number form synesthesia, numbers, months of the year, or days of the
Synesthesia
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
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
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
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
Painful disease restricting movement
when touched (non-tender). The exact cause in most cases is unknown. Post-traumatic stiffness after injury or surgery to the shoulder is best considered
Adhesive capsulitis of the shoulder
Adhesive_capsulitis_of_the_shoulder
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
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
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
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
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
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
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
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
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
M7.2 and M7.5 doublet earthquake
partially destroyed. Many people remained missing a month later, although the exact number remains debated. A crowdsourced database, Venezuela Reporta, created
2026_Venezuela_earthquakes
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
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)
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 confronted the other man
Hard_Candy_(film)
Benign smooth-muscle tumors of the uterus
occasionally cause problems with becoming pregnant, but this is uncommon. The exact cause of uterine fibroids is unclear. However, fibroids run in families
Uterine_fibroid
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
Medical condition
that curtails fetal movement can result in congenital contractures. The exact causes of arthrogryposis are unknown. The malformations of arthrogryposis
Arthrogryposis
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
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)
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
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
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
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
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
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
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
Male reproductive organ cancer
robot-assisted surgery, where robotic tools inserted through small holes in the abdomen allow a surgeon to make small and exact movements during surgery. This
Prostate_cancer
1937 airship fire in the US
repaired area.[citation needed] While no photographs are known to capture the exact moment of ignition, a study published in 2025 by digital imaging historian
Hindenburg_disaster
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
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
Minor form of stroke
Association/American Stroke Association Stroke Council; Council on Cardiovascular Surgery and Anesthesia; Council on Cardiovascular Radiology and Intervention; Council
Transient_ischemic_attack
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
the bottom, as Perempuán did. The last seconds of The Platform 2 show the exact next moment after the first film concluded. In June 2025, Fort Gregg-Adams
List of films with post-credits scenes (2020s)
List_of_films_with_post-credits_scenes_(2020s)
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)
2019 film by Thiagarajan Kumararaja
events is captured in this poster and interestingly it turned out to be an exact representation of all things that appear in the film. There's a sense of
Super_Deluxe_(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
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)
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
British veterinary TV series (1978-90)
Farnon (based on Donald Sinclair), the proprietor of the Skeldale House surgery, and Peter Davison as Siegfried's "little brother", Tristan (based on Brian
All Creatures Great and Small (1978 TV series)
All_Creatures_Great_and_Small_(1978_TV_series)
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
"Helen's Surgery" Adam Weissman George Doty IV June 11, 2005 (2005-06-11) 307 N/A Drake and Josh are tasked with assisting Helen after eye surgery leaves
List_of_Drake_&_Josh_episodes
Feature. Navy Medicine. Vol. 89, no. 5. U.S. Navy Bureau of Medicine and Surgery. pp. 6–11. Retrieved 2 September 2024 – via Internet Archive. However,
List of unusual deaths in the 20th century
List_of_unusual_deaths_in_the_20th_century
circulant Hadamard matrix has order greater than 4. Barker sequence conjecture: no Barker sequence has length greater than 13; equivalently, none has even
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
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
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
Genus of flowering plants
family, Lamiaceae. It is estimated that 18 to 24 species exist, but the exact distinction between species is unclear. Hybridization occurs naturally where
Mentha
American musician (1942–2025)
also experienced tinnitus. In the late 1960s, he underwent corrective surgery that was unsuccessful in restoring his hearing. Wilson's first serious
Brian_Wilson
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
Mathematical concept
invariants of εT, and the ε-quadratic forms are the coinvariants. As an exact sequence, 0 → Q ε ( M ) → B ( M ) ⟶ 1 − ε T B ( M ) → Q ε ( M ) → 0 {\displaystyle
Ε-quadratic_form
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
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
American brain injury survivor (1823–1860)
here, that the picture presented was, to one unaccustomed to military surgery, truly terrific; but the patient bore his sufferings with the most heroic
Phineas_Gage
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
Indian mathematician (1887–1920)
that permits exact computation of the number of partitions of an integer. In 1937, Hans Rademacher refined their formula to find an exact convergent series
Srinivasa_Ramanujan
Technology for determining an object's location in space
unobstructed line of sight to three or more signaling beacons of which the exact position on Earth is known. Unlike GPS or other global navigation satellite
Positioning_system
2014 film by Clint Eastwood
when he returns. Back in Iraq, Chris is shocked to learn Biggles died in surgery to repair the wounds he sustained. Assigned to kill Mustafa, who has been
American_Sniper
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
American biotechnology company
by a subsidiary of SoftBank Group. The funding supports an attempt to sequence the DNA of 1 million cancer patients in five years, bring to market a blood
Guardant_Health
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
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
1982 American fantasy film by John Milius
in Conan's arms, acknowledging the toll that the wizard warned would be exacted in exchange for Conan's life. Conan cremates her at the Mounds and prepares
Conan the Barbarian (1982 film)
Conan_the_Barbarian_(1982_film)
2010 Indian film by Karan Johar
Razia. However, owing to a delay caused by Shah Rukh Khan's shoulder surgery in January 2009, Azmi opted out; she continued to shoot for Gurinder Chadha-directed
My_Name_Is_Khan
Holy site in Hebron, Palestine
land of Canaan at the age of 127, being the only woman in the Bible whose exact age is given, while Abraham is tending to business elsewhere. Abraham comes
Cave_of_the_Patriarchs
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
2003 Indian film
But he gets a shock on his wedding night when Gowri turns out to be the exact opposite of what he had imagined her to be. While he had thought she would
Vikadan
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
Purposeful use of language
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
American political scientist (born 1953)
perverted fetish of transgender persons" and called gender-reassignment surgery "genital mutilation". In I'll Burn That Bridge When I Get to It!, Finkelstein
Norman_Finkelstein
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
Poisonous mushroom (death cap)
for severe Amanita phalloides mushroom poisoning". American Journal of Surgery. 159 (5): 493–9. doi:10.1016/S0002-9610(05)81254-1. PMID 2334013. Klein
Amanita_phalloides
Online biomedical database
in Index Medicus and MEDLINE, for instance Science, BMJ, and Annals of Surgery very recent entries to records for an article before it is indexed with
PubMed
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
Neurodevelopmental disorder involving 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
French comics author (1938–2012)
the Divine Comedy by Gustave Doré, with compositions often approaching an exact match. Giraud acknowledged this influence directly, praising Doré's work
Jean_Giraud
1828 series of killings in Edinburgh, Scotland
Italian city of Padua. The teaching of anatomy—crucial in the study of surgery—required a sufficient supply of cadavers, the demand for which increased
Burke_and_Hare_murders
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
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
American astronaut (1930–2012)
2012, Armstrong died due to complications resulting from coronary bypass surgery, at the age of 82. Armstrong was born in rural Washington Township, in
Neil_Armstrong
2015 video game
into Soviet-occupied Afghanistan and the Angola–Zaire border region to exact revenge on those who destroyed his forces and almost killed him during the
Metal Gear Solid V: The Phantom Pain
Metal_Gear_Solid_V:_The_Phantom_Pain
Doctor Who character
he is 903 years of age, the first time since Time and the Rani that an exact number has been stated in dialogue; previously, the Master indicated the
The_Doctor
Time when menstrual periods stop permanently
postmenopause. Menopause is a natural part of aging, it can also be a result of surgery, or have another medical or non-medical source. Natural menopause is the
Menopause
Bullet Swing Around ride suffered injuries as the ride came to a stop. The exact cause is unknown, though a park spokesperson said it was not due to a ride
Incidents_at_Six_Flags_parks
American rock band
the rest of 2025. In his announcement, he stated that he will be needing surgery on his right hand, and that he would return to touring once it is healed
Fall_Out_Boy
Fictional set of rules by Isaac Asimov
necessity of inflicting damage during surgery in order to prevent the greater harm that would result if the surgery were not carried out, or was carried
Three_Laws_of_Robotics
travel, tourism, insurance
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
SURGERY EXACT-SEQUENCE
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