Computation and Homotopical Applications of Induced Crossed Modules

2002/09/06 by Ronald Brown, Brown, Ronald, Christopher D. Wensley +1 · 1 citation
Mathematics · #20L05 #55P10 #55Q2 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #math.CT #msc:20L05 #msc:55P10 #msc:55Q2

paper · pdf · doi:10.48550/arxiv.math/0209068

15 pages, xypic, latex2E

arxiv created 2002/09/06 · openalex publication_date 2002/09/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some examples and applications.

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