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- Ring_spectrum abstract "In stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication mapμ:E ∧ E → Eand a unit map η:S → E,where S is the sphere spectrum. These maps have to satisfy associativity and unitality conditions up to homotopy much in the same way as the multiplication of a ring is associative and unital. That is, μ (id ∧ μ) ∼ μ (μ ∧ id)and μ (id ∧ η) ∼ id ∼ μ(η ∧ id).Examples of ring spectra include singular homology with coefficients in a ring, complex cobordism, K-theory, and Morava K-theory.".
- Ring_spectrum wikiPageID "21118494".
- Ring_spectrum wikiPageLength "1220".
- Ring_spectrum wikiPageOutDegree "13".
- Ring_spectrum wikiPageRevisionID "638361326".
- Ring_spectrum wikiPageWikiLink Associative_property.
- Ring_spectrum wikiPageWikiLink Category:Algebraic_topology.
- Ring_spectrum wikiPageWikiLink Category:Homotopy_theory.
- Ring_spectrum wikiPageWikiLink Complex_cobordism.
- Ring_spectrum wikiPageWikiLink Highly_structured_ring_spectrum.
- Ring_spectrum wikiPageWikiLink K-theory.
- Ring_spectrum wikiPageWikiLink Morava_K-theory.
- Ring_spectrum wikiPageWikiLink Ring_(mathematics).
- Ring_spectrum wikiPageWikiLink Singular_homology.
- Ring_spectrum wikiPageWikiLink Spectrum_(topology).
- Ring_spectrum wikiPageWikiLink Sphere_spectrum.
- Ring_spectrum wikiPageWikiLink Stable_homotopy_theory.
- Ring_spectrum wikiPageWikiLinkText "Ring spectrum".
- Ring_spectrum wikiPageWikiLinkText "ring spectra".
- Ring_spectrum wikiPageWikiLinkText "ring spectrum".
- Ring_spectrum wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Ring_spectrum wikiPageUsesTemplate Template:Citation.
- Ring_spectrum wikiPageUsesTemplate Template:For.
- Ring_spectrum wikiPageUsesTemplate Template:Reflist.
- Ring_spectrum subject Category:Algebraic_topology.
- Ring_spectrum subject Category:Homotopy_theory.
- Ring_spectrum hypernym E.
- Ring_spectrum type Album.
- Ring_spectrum type Mapping.
- Ring_spectrum comment "In stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication mapμ:E ∧ E → Eand a unit map η:S → E,where S is the sphere spectrum. These maps have to satisfy associativity and unitality conditions up to homotopy much in the same way as the multiplication of a ring is associative and unital.".
- Ring_spectrum label "Ring spectrum".
- Ring_spectrum sameAs Q7334821.
- Ring_spectrum sameAs m.05c2psb.
- Ring_spectrum sameAs Q7334821.
- Ring_spectrum wasDerivedFrom Ring_spectrum?oldid=638361326.
- Ring_spectrum isPrimaryTopicOf Ring_spectrum.