Crossed complexes and chain complexes with operators

DOI10.1017/S0305004100068353zbMath0691.18003MaRDI QIDQ3032466

Philip J. Higgins, Ronald Brown

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

homotopyhomological algebrahomotopical algebrachain complexescrossed complexesfiltered spaceshigher homotopy

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Homotopy theory (55P99) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items

Free Crossed Resolutions of Groups and Presentations of Modules of Identities among Relations, Some categorical results in the theory of crossed modules in commutative algebras, Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes, Spaces of maps into classifying spaces for equivariant crossed complexes, Varieties of simplicial groupoids. I: Crossed complexes, Homotopy theory, and change of base for groupoids and multiple groupoids, Unnamed Item, (Braided) tensor structures on homotopy groupoids and nerves of (Braided) categorical groups¹, On the tensor algebra of a non-Abelian group and applications, An embedding theorem for proper \(n\)-types, Homotopies of crossed complex morphisms of associative \(R\)-algebras, Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems, Unnamed Item, Free and projective crossed modules and the second homology group of a group, On the Eilenberg-Zilber theorem for crossed complexes

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