Dold–Kan correspondence

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo abelian categories
gptkbp:describes equivalence between simplicial abelian groups and chain complexes of abelian groups in non-negative degrees
gptkbp:establishedIn 1958
gptkbp:field gptkb:category_theory
homological algebra
gptkbp:generalizes gptkb:Dold–Puppe_correspondence
gptkb:non-abelian_Dold–Kan_correspondence
gptkbp:hasApplication gptkb:topology
higher category theory
model categories
derived categories
homotopical algebra
https://www.w3.org/2000/01/rdf-schema#label Dold–Kan correspondence
gptkbp:isEquivalenceOfCategories chain complexes of abelian groups in non-negative degrees
simplicial abelian groups
gptkbp:namedAfter gptkb:Albrecht_Dold
gptkb:Daniel_Kan
gptkbp:provides functorial equivalence
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo chain complexes
simplicial objects
gptkbp:bfsParent gptkb:Albrecht_Dold
gptkb:A._Dold
gptkb:Christoph_Dold
gptkbp:bfsLayer 7