Varieties of simplicial groupoids. I: Crossed complexes

DOI10.1016/S0022-4049(96)00038-2zbMath0888.55005MaRDI QIDQ1369606

Timothy Porter, Philip John Ehlers

Publication date: 3 June 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

homotopy typevarietycrossed complexsimplicial groupoidDold-Kan theoremgroupoid \(T\)-complexverbal subgroupoid

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (6)

Unnamed Item ⋮ Varieties of simplicial groupoids. I: Crossed complexes ⋮ Freeness conditions for quasi 3-crossed modules and complexes of using simplicial algebras with CW-bases ⋮ Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems ⋮ Erratum to: ``Varieties of simplicial groupoids. I: Crossed complexes ⋮ On the Eilenberg-Zilber theorem for crossed complexes

Cites Work

• Modules croisés généralisés de longueur 2
• Tensor products and homotopies for \(\omega\)-groupoids and crossed complexes
• Van Kampen theorems for diagrams of spaces
• Group-theoretic algebraic models for homotopy types
• Varieties of simplicial groupoids. I: Crossed complexes
• A Dold-Kan theorem for crossed complexes
• Iterated \(\bar W\) and T-groupoids
• The derived module of a homomorphism
• Crossed complexes and chain complexes with operators
• Combinatorial homotopy. I
• Simplicial homotopy theory
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