1999/04/09 by A. Mutlu, Ali Mutlu, T. Porter +3 · 1 citation
Mathematics · #18D35 #18G30 #18G50 #18G55 #55Q05 #55Q20 #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.CT #math.KT #msc:18D35 #msc:18G30 #msc:18G50 #msc:18G55 #msc:55Q05 #msc:55Q20
paper · pdf · doi:10.48550/arxiv.math/9904041
23 pages
arxiv created 1999/04/09 · openalex publication_date 1999/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Following Ellis, we investigate the notion of totally free crossed squares and related square complexes. It is shown how to interpret the information in a free simplicial group given with a choice of CW-basis, in terms of the data for a totally free crossed square. Results of Ellis then apply to give a description in terms of tensor products of crossed modules. The paper ends with a purely algebraic derivation of a result of Brown and Loday.