A pr 1 99 9 Freeness Conditions for Crossed Squares and Squared Complexes

نویسندگان

  • A. Mutlu
  • T. Porter
چکیده

Following Ellis, [9], 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, interms 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.

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تاریخ انتشار 2008