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- Eilenberg–Steenrod_axioms abstract "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.If one omits the dimension axiom (described below), then the remaining axioms define what is called an extraordinary homology theory. Extraordinary cohomology theories first arose in K-theory and cobordism.".
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- Eilenberg–Steenrod_axioms wikiPageRevisionID "679426654".
- Eilenberg–Steenrod_axioms wikiPageWikiLink Algebraic_topology.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Brouwer_fixed-point_theorem.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Brouwer_fixed_point_theorem.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Category:Homology_theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Category:Mathematical_axioms.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Category_(mathematics).
- Eilenberg–Steenrod_axioms wikiPageWikiLink Cobordism.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Cobordism_theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Cohomology.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Deformation_retract.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Exact_sequence.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Excision_theorem.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Extraordinary_cohomology_theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Extraordinary_homology_theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Functor.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Group_(mathematics).
- Eilenberg–Steenrod_axioms wikiPageWikiLink Homology_(mathematics).
- Eilenberg–Steenrod_axioms wikiPageWikiLink Homology_theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Homotopic.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Homotopy.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Isomorphism.
- Eilenberg–Steenrod_axioms wikiPageWikiLink K-theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Long_exact_sequence.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Map_(mathematics).
- Eilenberg–Steenrod_axioms wikiPageWikiLink Mathematics.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Mayer–Vietoris_sequence.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Natural_transformation.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Norman_Steenrod.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Proc._Nat._Acad._Sci..
- Eilenberg–Steenrod_axioms wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Retract.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Samuel_Eilenberg.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Sequence.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Singular_homology.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Sphere.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Topological_K-theory.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Topological_pair.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Topological_space.
- Eilenberg–Steenrod_axioms wikiPageWikiLink Zig-zag_lemma.
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "Eilenberg–Steenrod axioms".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "Eilenberg–Steenrod".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "Eilenberg–Steenrod axioms".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "Eilenberg–Steenrod axioms#Formal definition".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "axioms".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "coefficient ring".
- Eilenberg–Steenrod_axioms wikiPageWikiLinkText "long exact sequence of the pair".
- Eilenberg–Steenrod_axioms hasPhotoCollection Eilenberg–Steenrod_axioms.
- Eilenberg–Steenrod_axioms wikiPageUsesTemplate Template:Cite_book.
- Eilenberg–Steenrod_axioms wikiPageUsesTemplate Template:Cite_journal.
- Eilenberg–Steenrod_axioms wikiPageUsesTemplate Template:Reflist.
- Eilenberg–Steenrod_axioms subject Category:Homology_theory.
- Eilenberg–Steenrod_axioms subject Category:Mathematical_axioms.
- Eilenberg–Steenrod_axioms comment "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.".
- Eilenberg–Steenrod_axioms label "Eilenberg–Steenrod axioms".
- Eilenberg–Steenrod_axioms sameAs Eilenbergin–Steenrodin_aksioomat.
- Eilenberg–Steenrod_axioms sameAs 에일렌베르크-스틴로드_공리.
- Eilenberg–Steenrod_axioms sameAs m.08swn8.
- Eilenberg–Steenrod_axioms sameAs Q5349493.
- Eilenberg–Steenrod_axioms sameAs Q5349493.
- Eilenberg–Steenrod_axioms sameAs 艾倫伯格-斯廷羅德公理.
- Eilenberg–Steenrod_axioms wasDerivedFrom Eilenberg–Steenrod_axioms?oldid=679426654.
- Eilenberg–Steenrod_axioms isPrimaryTopicOf Eilenberg–Steenrod_axioms.