Iterated Peiffer pairings in the Moore complex of a simplicial group

Details Iterated Peiffer pairings in the Moore complex of a simplicial group Iterated Peiffer pairings in the Moore complex of a simplicial group

1999-04-09

arxiv.org/abs/math/9904038v1

Mathematics

Algebraic Topology

25 pages

Scientific paper

We introduce a pairing structure within the Moore complex NG of a simplicial
group G and use it to investigate generators for NG_n\cap D_n where D_n is the
subgroup generated by degenerate elements. This is applied to the study of
algebraic models for homotopy types.

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