Normalisation for the fundamental crossed complex of a simplicial set

zbMath1184.55007arXivmath/0611728MaRDI QIDQ847547

Ronald Brown, Rafael Sivera

Publication date: 17 February 2010

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611728

zbMATH Keywords

groupoidnormalisationcrossed complexcrossed modulesimplicial setfundamental crossed complexhomotopy addition Lemma

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Simplicial sets and complexes in algebraic topology (55U10) Applied homological algebra and category theory in algebraic topology (55U99) Singular homology and cohomology theory (55N10) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Homology with local coefficients, equivariant cohomology (55N25)

Related Items

Pointed homotopy and pointed lax homotopy of 2-crossed module maps, Crossed Complexes and Higher Homotopy Groupoids as Noncommutative Tools for Higher Dimensional Local-to-Global Problems

Uses Software

• Gpd