Structure Relations in Special A_\infty-bialgebras

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We compute the structure relations in special A_\infty-bialgebras whose operations are limited to those defining the underlying A_\infty-(co)algebra substructure. Such bialgebras appear as the homology of certain loop spaces. Whereas structure relations in general A_\infty-bialgebras depend upon the combinatorics of permutahedra, only Stasheff's associahedra are required here.
9 pages, 4 figures

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Algebraic Topology, 55U05, 52B05, 05A18, 05A19

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http://salesiana.dossiersoluciones.com/handle/123456789/75554

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506446
 http://arxiv.org/abs/math/0506446

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arXiv