A cubical model for a fibration

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In the paper the notion of truncating twisting function $τ:X\to Q$ from a simplicial set $X$ to a cubical set $Q$ and the corresponding notion of twisted Cartesian product of these sets $X\times_τQ$ are introduced. The latter becomes a cubical set whose chain complex coincides with the standard twisted tensor product $C_*(X)\otimes_{τ_*}C_*(Q)$. This construction together with the theory of twisted tensor products for homotopy G-algebras allows to obtain multiplicative models for fibrations.
15 pages, 1 figure

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Algebraic Topology, 55R05, 55P35, 55U05, 52B05, 05A18, 05A19

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http://salesiana.dossiersoluciones.com/handle/123456789/65130

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210006
 http://arxiv.org/abs/math/0210006

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arXiv