The relationship between the diagonal and the bar constructions on a bisimplicial set

DOI10.1016/j.topol.2004.12.003zbMath1077.55011OpenAlexW1984160089MaRDI QIDQ2569002

Antonio Martínez Cegarra, J. Remedios Gómez

Publication date: 17 October 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.12.003

zbMATH Keywords

homotopy typebar construction2-categorybisimplicial setEilenberg-Zilber theoremhomotopy colimit theorem

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30)

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Simplicial Galois Deformation Functors, \(C^\ast\)-algebras of 2-groupoids, Nerves and classifying spaces for bicategories, Nonabelian reciprocity laws and higher Brauer-Manin obstructions, Homotopy fiber sequences induced by 2-functors, Comparaison de deux diagonales pour un ensemble bisimplicial, On classifying simplicial modules, Invariance properties of coHochschild homology, From double Lie groupoids to local Lie 2-groupoids, Derived moduli of complexes and derived Grassmannians, Constructing derived moduli stacks, Unnamed Item, Principal \(\infty\)-bundles: presentations, Homotopy colimits of 2-functors, The behaviour of the \(\overline{W}\)-construction on the homotopy theory of bisimplicial sets, Double groupoids and homotopy 2-types, Unnamed Item, Two-track categories, The unit of the total décalage adjunction, Left fibrations and homotopy colimits, Derived moduli of schemes and sheaves, Representability of derived stacks, The derived deformation theory of a point

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