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Títol:	Monoidal functors, acyclic models and chain operads
Autor/a:	Guillén Santos, Francisco; Navarro, Vicenç (Navarro Aznar); Pascual Gainza, Pere; Roig Martí, Agustín
Altres autors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We prove that for a topological operad P the operad of oriented cubical chains, Cord ¤ (P), and the operad of singular chains, S¤(P), are weakly equivalent. As a consequence, Cord ¤ (P;Q) is formal if and only if S¤(P;Q) is formal, thus linking together some formality results spread in the literature. The proof is based on an acyclic models theorem for monoidal functors. We give di®erent variants of the acyclic models theorem and apply the contravariant case to study the cohomology theories for simplicial sets de¯ned by R-simplicial di®erential graded algebras.
Matèries:	-Algebraic topology -Monoidal functors -Acyclic models -Chain operads -Topologia algebraica -Classificació AMS::55 Algebraic topology
Drets:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipus de document:	Article
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