Eilenberg–Steenrod axioms
In mathematics, specifically in algebraic topology, the Eilenberg–Steenrod axioms are properties that homology theories of topological spaces have in common. The quintessential example of a homology theory satisfying the axioms is singular homology, developed by Samuel Eilenberg and Norman Steenrod. One can define a homology theory as a sequence of functors satisfying the Eilenberg–Steenrod axioms. The axiomatic approach, which was developed in 1945, allows one to prove results, such as the Mayer–Vietoris sequence, that are common to all homology theories satisfying the axioms.
known for
Wikipage disambiguates
Algebraic K-theoryCobordismCohomologyCurrent (mathematics)Dimension axiomEckmann–Hilton dualityEilenbergEilenberg-Steenrod axiomsExcision theoremGlossary of algebraic topologyGlossary of category theoryHomology (mathematics)Homotopy axiomList of Columbia University peopleList of cohomology theoriesMayer–Vietoris sequenceNorman SteenrodPuppe sequenceSamuel EilenbergSaunders Mac LaneSerre spectral sequenceSingular homologySteenrod-Eilenberg AxiomsSteenrod-Eilenberg axiomsStratifoldTimeline of bordismTimeline of category theory and related mathematicsTimeline of manifoldsTimeline of mathematicsTopological modular formsWalther Mayer
Link from a Wikipage to another Wikipage
known for
primaryTopic
Eilenberg–Steenrod axioms
In mathematics, specifically in algebraic topology, the Eilenberg–Steenrod axioms are properties that homology theories of topological spaces have in common. The quintessential example of a homology theory satisfying the axioms is singular homology, developed by Samuel Eilenberg and Norman Steenrod. One can define a homology theory as a sequence of functors satisfying the Eilenberg–Steenrod axioms. The axiomatic approach, which was developed in 1945, allows one to prove results, such as the Mayer–Vietoris sequence, that are common to all homology theories satisfying the axioms.
has abstract
En mathématiques, les axiomes ...... ayer, Tucker, Cartan et Leray.
@fr
In mathematics, specifically i ...... ose in K-theory and cobordism.
@en
Аксиомы Стинрода — Эйленберга ...... азу для всех теорий гомологий.
@ru
У [математика|математиці]], зо ...... кли в K-теорії та кобордизмі .
@uk
在數學的代數拓撲學中,艾倫伯格-斯廷羅德公理(英語:Eile ...... 那麼其餘的公理所定義的是。最早出現的廣義同調論是K-理論和。
@zh
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
960,991,144
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
hypernym
type
comment
En mathématiques, les axiomes ...... mes a pu être réduit à quatre.
@fr
In mathematics, specifically i ...... heories satisfying the axioms.
@en
Аксиомы Стинрода — Эйленберга ...... азу для всех теорий гомологий.
@ru
У [математика|математиці]], зо ...... гій, що задовольняють аксіоми.
@uk
在數學的代數拓撲學中,艾倫伯格-斯廷羅德公理(英語:Eile ...... 那麼其餘的公理所定義的是。最早出現的廣義同調論是K-理論和。
@zh
label
Axiomes d'Eilenberg-Steenrod
@fr
Eilenberg–Steenrod axioms
@en
Аксиомы Стинрода — Эйленберга
@ru
Аксіоми Ейленберга — Стінрода
@uk
艾倫伯格-斯廷羅德公理
@zh
에일렌베르크-스틴로드 공리
@ko