Browsing by Author "Porter T."

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    Freeness conditions for crossed squares and squared complexes
    (Springer Netherlands, 2000) Mutlu A.; Porter T.
    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.
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    Iterated Peiffer pairings in the Moore complex of a simplicial group
    (Springer Netherlands, 2001) Mutlu A.; Porter T.
    We introduce a pairing structure within the Moore complex NG of a simplicial group G and use it to investigate generators for NGn ∩ Dn where Dn is the subgroup generated by degenerate elements. This is applied to the study of algebraic models for homotopy types.