A Diagonal on the Associahedra

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Let C_*(K) denote the cellular chains on the Stasheff associahedra. We construct an explicit combinatorial diagonal Δ: C_*(K) --> C_*(K) \otimes C_*(K); consequently, we obtain an explicit diagonal on the A_\infty-operad. We apply the diagonal Δto define the tensor product of A_\infty-(co)algebras in maximal generality.

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Algebraic Topology, 57T30; 55U10; 55N20; 55N10

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http://salesiana.dossiersoluciones.com/handle/123456789/60313

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011065
 http://arxiv.org/abs/math/0011065

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arXiv