Crossed squares and 2-crossed modules

2002/10/30 by A. Mutlu, Ali Mutlu, T. Porter +3 · 1 citation
Mathematics · #55U99 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Rings, Modules, and Algebras #math.AC #math.AT #math.KT #msc:55U99

paper · pdf · doi:10.48550/arxiv.math/0210462

27 pages

arxiv created 2002/10/30 · openalex publication_date 2002/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Crossed squares and 2-crossed modules are both algebraic models for 3-types. This paper explores the interrelationships between these two models.

Citations

• Freeness conditions for crossed squares and squared complexes

Cited by

• Crossed modules for Lie 2-algebras

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• On Algebraic Models for Homotopy 3-Types
• Three Crossed Modules
• Computing 2-Dimensional Algebras: Crossed Modules and Cat1-Algebras
• 3-Crossed Modules of Commutative Algebras
• (Co)-Induced Two Crossed Modules