Freeness conditions for crossed squares and squared complexes
K-Theory and Homology
2007-05-23 v1 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/9904041,
title = {Freeness conditions for crossed squares and squared complexes},
author = {A. Mutlu and T. Porter},
journal= {arXiv preprint arXiv:math/9904041},
year = {2007}
}
Comments
23 pages