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SHALEN

  • Peter Shalen
  • American mathematician

    Peter B. Shalen (born c. 1946) is an American mathematician, working primarily in low-dimensional topology. He is the "S" in JSJ decomposition. He graduated

    Peter Shalen

    Peter_Shalen

  • JSJ decomposition
  • Process in mathematics of decomposing a topological space

    atoroidal or Seifert-fibered. The acronym JSJ is for William Jaco, Peter Shalen, and Klaus Johannson. The first two worked together, and the third worked

    JSJ decomposition

    JSJ_decomposition

  • Rips machine
  • isometric to some real interval. Rips proved the conjecture of Morgan and Shalen that any finitely generated group acting freely on an R-tree is a free product

    Rips machine

    Rips_machine

  • Fiji national under-17 football team
  • National under-17 association football team representing Fiji

    Hussain Sahib (2010–2011) Kamal Swamy (2012–2015) Yogendra Dutt (2014–2015) Shalen Lal (2016–2017) Rupeni Luvu (2017–2019) Sunil Kumar (2019–present) "Provisional

    Fiji national under-17 football team

    Fiji_national_under-17_football_team

  • Shalendra Lal
  • Fijian footballer and coach

    2023. Karalaini Tavi (18 January 2021). "Shalen Lal is new Nadi coach". FBC News. Retrieved 10 April 2023. "Shalen Lal – Why I Resigned?". Fiji Sun. 30 November

    Shalendra Lal

    Shalendra_Lal

  • Navtarang (Fiji)
  • Radio station in Fiji

    from Fiji such as Anirudh Diwakar, Noor Jahan, Vijay Varma, Saten Sharma, Shalen Sharma, Sneh Chaudhary, Shammi Lochan, amongst others have worked for Radio

    Navtarang (Fiji)

    Navtarang (Fiji)

    Navtarang_(Fiji)

  • John Edwin Luecke
  • American mathematician

    3-manifolds. In a 1987 paper Luecke, Marc Culler, Cameron Gordon, and Peter Shalen proved the cyclic surgery theorem. In a 1989 paper Luecke and Cameron Gordon

    John Edwin Luecke

    John_Edwin_Luecke

  • Marc Culler
  • American mathematician

    Culler frequently collaborates with Peter Shalen and they have co-authored many papers. Culler and Shalen did joint work that related properties of representation

    Marc Culler

    Marc Culler

    Marc_Culler

  • Gordon–Luecke theorem
  • Two tame knots with homeomorphic complements are the same or mirror images

    ingredients of the proof are their joint work with Marc Culler and Peter Shalen on the cyclic surgery theorem, combinatorial techniques in the style of

    Gordon–Luecke theorem

    Gordon–Luecke_theorem

  • Cameron Gordon (mathematician)
  • British mathematician

    his notable results is his work with Marc Culler, John Luecke, and Peter Shalen on the cyclic surgery theorem. This was an important ingredient in his work

    Cameron Gordon (mathematician)

    Cameron Gordon (mathematician)

    Cameron_Gordon_(mathematician)

  • Nathan Dunfield
  • American mathematician

    Rigidity for Hyperbolic Manifolds written under the supervision of Peter Shalen and Melvin Rothenberg. He then was a Benjamin Peirce Assistant Professor

    Nathan Dunfield

    Nathan_Dunfield

  • William Jaco
  • American mathematician

    1940) is an American mathematician who is known for his role in the Jaco–Shalen–Johannson decomposition theorem and efficient triangulations of 3-manifolds

    William Jaco

    William Jaco

    William_Jaco

  • Rickdependence Spray
  • 4th episode of the 5th season of Rick and Morty

    and Morty Episode Ever?". The A.V. Club. Retrieved June 2, 2022. Lawson, Shalen (August 30, 2021). "Review: 'Rick & Morty' misses the mark in latest season"

    Rickdependence Spray

    Rickdependence_Spray

  • Kadri Bistrica
  • placed in his birth place in Bistricë in 2022. "QËNDRESA ANTIKOMUNISTE NË SHALËN E BAJGORES 1941 - 1950". ballikombetar.info (in Albanian). Archived from

    Kadri Bistrica

    Kadri Bistrica

    Kadri_Bistrica

  • Mladen Bestvina
  • Croatian-American mathematician

    (the Rips machine) In particular their paper gives a proof of the Morgan–Shalen conjecture that a finitely generated group G admits a free isometric action

    Mladen Bestvina

    Mladen Bestvina

    Mladen_Bestvina

  • List of members of the Parliament of Fiji (2022–present)
  • Semi Koroilavesau FijiFirst Faiyaz Koya FijiFirst Premila Kumar FijiFirst Shalen Kumar FijiFirst Ketan Lal FijiFirst Atonio Lalabalavu People's Alliance

    List of members of the Parliament of Fiji (2022–present)

    List of members of the Parliament of Fiji (2022–present)

    List_of_members_of_the_Parliament_of_Fiji_(2022–present)

  • Character variety
  • character variety is not necessarily the same as that of Marc Culler and Peter Shalen (generated by evaluations of traces), although when G = S L ( n , C ) {\displaystyle

    Character variety

    Character_variety

  • 2007 OFC Champions League
  • Football Oceania

    4R Electrical Ba: 1 Laisenia Tuba 3 Shalen Lal 5 Roneel Kumar  41' 6 Jone Vesikula 8 Keni Doidoi  63' 9 Josaia Bukalidi 10 Ronald Chandra  55' 11 Robert

    2007 OFC Champions League

    2007_OFC_Champions_League

  • Cyclic surgery theorem
  • Limitation on the Dehn fillings of 3-manifolds with cyclic fundamental groups

    Marc Culler, Cameron Gordon, John Luecke and Peter Shalen. M. Culler, C. Gordon, J. Luecke, P. Shalen (1987). Dehn surgery on knots. The Annals of Mathematics

    Cyclic surgery theorem

    Cyclic_surgery_theorem

  • Cerajë
  • Village in Mitrovica, Kosovo

    (PDF). OSCE. p. 22. Retrieved 6 March 2024. "QËNDRESA ANTIKOMUNISTE NË SHALËN E BAJGORES 1941 - 1950". ballikombetar.info (in Albanian). Archived from

    Cerajë

    Cerajë

    Cerajë

  • Ukshin Kovaçica
  • also known by the name Ukshinaj due to him. "QËNDRESA ANTIKOMUNISTE NË SHALËN E BAJGORES 1941 - 1950". ballikombetar.info (in Albanian). Archived from

    Ukshin Kovaçica

    Ukshin Kovaçica

    Ukshin_Kovaçica

  • Holy, Holy
  • 2024 single by Geordie Greep

    Debut Solo Album". Clunk Magazine. Retrieved 18 September 2025. Farahi, Shalen (12 November 2024). "TRACK REVIEW: Geordie Greep: "Holy, Holy"". KXSC Radio

    Holy, Holy

    Holy,_Holy

  • The New Sound
  • 2024 studio album by Geordie Greep

    Wild Debut Solo LP". Stereogum. 2024-10-01. Retrieved 2024-10-11. Farahi, Shalen (2024-11-12). "TRACK REVIEW: Geordie Greep: "Holy, Holy"". KXSC Radio. Retrieved

    The New Sound

    The_New_Sound

  • Manifold decomposition
  • is unknown. Simplices Glue together pairs of codimension-one faces Jaco-Shalen/Johannson torus decomposition Irreducible, orientable, compact 3-manifolds

    Manifold decomposition

    Manifold_decomposition

  • Kovaçicë
  • Village in Mitrovica, Kosovo

    Kosovo 2011". ""Lama hill" – Po ndërtohet lagjja më e madhe turistike në Shalën e Bajgorës". Veriu.info (in Albanian). 19 October 2023. Retrieved 6 August

    Kovaçicë

    Kovaçicë

  • Smith conjecture
  • Theorem in topology

    3-manifolds, with some additional help from Bass, Cameron Gordon, Peter Shalen, and Rick Litherland. Deane Montgomery and Leo Zippin (1954) gave an example

    Smith conjecture

    Smith_conjecture

  • 3-manifold
  • Mathematical space

    atoroidal or Seifert-fibered. The acronym JSJ is for William Jaco, Peter Shalen, and Klaus Johannson. The first two worked together, and the third worked

    3-manifold

    3-manifold

    3-manifold

  • Wolfgang Haken
  • German mathematician (1928–2022)

    ISBN 0-8218-5103-9 Callahan, Patrick; Kapovich, Ilya; Lackenby, Marc; Shalen, Peter; Wilson, Robin (October 2023). "Wolfgang Haken, 1928–2022" (PDF)

    Wolfgang Haken

    Wolfgang Haken

    Wolfgang_Haken

  • Boundary parallel
  • When a closed manifold embedded in M has an isotopy onto a boundary component of M

    Graduate studies in mathematics. Vol. 151. AMS. ISBN 978-1-4704-1020-9. Shalen 2002, p. 963. That is there exists a neighbourhood of F {\displaystyle F}

    Boundary parallel

    Boundary_parallel

  • Edwin E. Moise
  • American mathematician (1918–1998)

    Michigan Institute for Advanced Study Harvard University Queens College Doctoral advisor Robert Lee Moore Doctoral students James Munkres Peter Shalen

    Edwin E. Moise

    Edwin E. Moise

    Edwin_E._Moise

  • List of International Congresses of Mathematicians Plenary and Invited Speakers
  • Schwartz Zbigniew Semadeni [pl] Caroline Series Paul D. Seymour Peter B. Shalen Adi Shamir Micha Sharir Saharon Shelah V. V. Shokurov A. V. Skorokhod Stephen

    List of International Congresses of Mathematicians Plenary and Invited Speakers

    List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers

  • Karen Vogtmann
  • American mathematician

    Vogtmann, the term Outer space for the complex Xn was later coined by Peter Shalen. In subsequent years the Outer space became a central object in the study

    Karen Vogtmann

    Karen Vogtmann

    Karen_Vogtmann

  • History of knot theory
  • based on his results and those of Klaus Johannson, William Jaco, Peter Shalen, and Geoffrey Hemion. In 2003 Sergei Matveev pointed out and filled in a

    History of knot theory

    History of knot theory

    History_of_knot_theory

  • List of conjectures
  • minimal surfaces in 3-manifolds, also with Hyman Bass, Cameron Gordon, Peter Shalen, and Rick Litherland, written up by Bass and John Morgan. 1984 Louis de

    List of conjectures

    List_of_conjectures

  • Ikeda Terumasa
  • Daimyo

    1598, after the death of Toyotomi Hideyoshi, the government of Japan was shalen by an incident, when seven military generals—Fukushima Masanori, Katō Kiyomasa

    Ikeda Terumasa

    Ikeda Terumasa

    Ikeda_Terumasa

  • Real tree
  • predates Rips', Bestvina's and Paulin's work and is due to J. Morgan and P. Shalen). If F {\displaystyle F} is a field with an ultrametric valuation then the

    Real tree

    Real_tree

  • Asia Rainbow TV Awards
  • Asian television awards

    for Temple Ride 2014 Best: Life Goes On Outstanding: Yeti Outstanding: Shalen Joe Kwun for Life Goes On Outstanding: Lee Young-woon for T-pang Rescue

    Asia Rainbow TV Awards

    Asia_Rainbow_TV_Awards

  • List of faculty and alumni of Fairmont State University
  • West Virginia William Jaco, mathematician, known for his role in the Jaco–Shalen–Johannson decomposition theorem and efficient triangulations of 3-manifolds

    List of faculty and alumni of Fairmont State University

    List_of_faculty_and_alumni_of_Fairmont_State_University

  • 2022 Fijian general election
  • Sharma Alvikh Maharaj Rosy Akbar Vijay Nath Ioane Naivalurua Inia Seruiratu Shalen Kumar Faiyaz Koya Premila Kumar Jone Usamate Viam Pillay Sanjay Kirpal Joseph

    2022 Fijian general election

    2022 Fijian general election

    2022_Fijian_general_election

  • List of Stuyvesant High School people
  • Michigan) James Lepowsky (1961) – lie theory (Rutgers University) Peter Shalen (1962) – low-dimensional topology, Kleinian groups, hyperbolic geometry

    List of Stuyvesant High School people

    List_of_Stuyvesant_High_School_people

  • Satellite knot
  • Type of mathematical knot

    fundamental groups are isomorphic. Waldhausen conjectured what is now the Jaco–Shalen–Johannson-decomposition of 3-manifolds, which is a decomposition of 3-manifolds

    Satellite knot

    Satellite_knot

  • John Morgan (mathematician)
  • American mathematician

    Études Sci. Publ. Math. No. 64 (1986), 185. John W. Morgan and Peter B. Shalen. Valuations, trees, and degenerations of hyperbolic structures. I. Ann.

    John Morgan (mathematician)

    John_Morgan_(mathematician)

  • Seifert fiber space
  • Topological space

    Lectures on 3-manifold topology ISBN 0-8218-1693-4 William H. Jaco, Peter B. Shalen, Seifert Fibered Spaces in Three Manifolds: Memoirs Series No. 220 (Memoirs

    Seifert fiber space

    Seifert_fiber_space

  • List of people with given name Peter
  • artist Peter Settelen (born 1951), British actor and voice coach Peter Shalen, American mathematician Peter Shankman (born 1972), American entrepreneur

    List of people with given name Peter

    List_of_people_with_given_name_Peter

  • 2008 OFC Nations Cup squads
  • 2DF Avinesh Suwamy (1986-04-06)6 April 1986 (aged 21) Lautoka F.C. 2DF Shalen Lal (1986-07-03)3 July 1986 (aged 21) Ba F.C. 2DF Manueli Kalaou (1988-06-22)22

    2008 OFC Nations Cup squads

    2008_OFC_Nations_Cup_squads

  • Procera Music
  • Fijian music distribution company

    Adriu Saranuku Best Tamil Kirtan Artist - Shiv Shekar Best Pachra Artist - Shalen Prasad Pinky (Tavua) Best Stage Entertainer (i-Taukei) - Suliasi Uluilakeba

    Procera Music

    Procera_Music

  • Pio Tikoduadua
  • Fijian politician, Minister, President of the National Federation Party (born 1966)

    Hem Chand Sanjay Kirpal Semi Koroilavesau Penioni Ravunawa Premila Kumar Shalen Kumar Ketan Lal Virendra Lal Joseph Nand Vijay Nath Viliame Naupoto Josaia

    Pio Tikoduadua

    Pio Tikoduadua

    Pio_Tikoduadua

  • Moose Peak Light
  • Lighthouse in Maine, US

    Moose Peak Light Shalen’s New Home Location Mistake Island Coordinates 44°28′28.49″N 67°31′55.17″W / 44.4745806°N 67.5319917°W / 44.4745806; -67.5319917

    Moose Peak Light

    Moose Peak Light

    Moose_Peak_Light

  • 2016 New Zealand Radio Awards
  • Network The Paris Bombings - Newstalk ZB Team - Newstalk ZB Network Window Washers - Sanjesh Narain, Mehak Vasisht, Shalen Shandil - Radio Tarana Auckland

    2016 New Zealand Radio Awards

    2016_New_Zealand_Radio_Awards

  • 2015 New Zealand Radio Awards
  • Network - NZME Fiji Election Coverage 2014 - Robert Khan, Sanjesh Narain, Shalen Shandil, Mehak Vashist - Radio Tarana, Auckland - Radio Tarana (NZ) Ltd

    2015 New Zealand Radio Awards

    2015_New_Zealand_Radio_Awards

  • Samuela Vunivalu
  • Fijian rugby union footballer

    Hem Chand Sanjay Kirpal Semi Koroilavesau Penioni Ravunawa Premila Kumar Shalen Kumar Ketan Lal Virendra Lal Joseph Nand Vijay Nath Viliame Naupoto Josaia

    Samuela Vunivalu

    Samuela_Vunivalu

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