ISSN:
1573-0514
Keywords:
crossed square
;
squared complex
;
free simplicial group
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Following Ellis, we investigate the notion of totally free crossed square and related squared 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1026535602325
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