Freeness conditions for crossed squares and squared complexes

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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.
23 pages

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K-Theory and Homology, Category Theory, 18D35, 18G30, 18G50, 18G55, 55Q20, 55Q05

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http://salesiana.dossiersoluciones.com/handle/123456789/78338

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904041
 http://arxiv.org/abs/math/9904041

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arXiv