Crossed modules as homotopy normal maps

DOI10.1016/j.topol.2009.09.004zbMath1189.55006OpenAlexW1978471899MaRDI QIDQ1044867

Yoav Segev, Emmanuel Dror Farjoun

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.09.004

zbMATH Keywords

normal subgroupshomotopy colimitsimplicial groupbar constructioncrossed module

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Simplicial sets and complexes in algebraic topology (55U10) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items (6)

Crossed modules as maps between connected components of topological groups ⋮ Higher homotopy normalities in topological groups ⋮ Homotopy normal maps ⋮ Normal closure and injective normalizer of a group homomorphism. ⋮ Higher dimensional algebras as ideal maps ⋮ Sylow theorems for \(\infty\)-groups

Cites Work

• Homotopy normal maps
• Modules croisés généralisés de longueur 2
• Spaces with finitely many non-trivial homotopy groups
• Group-theoretic algebraic models for homotopy types
• Simplicial homotopy theory
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