Virtual operad algebras and realization of homotopy types

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dc.creatorHinich, Vladimir
dc.date1999-07-19
dc.date.accessioned2026-07-07T05:29:57Z
dc.date.available2026-07-07T05:29:57Z
dc.descriptionWe prove that the category of algebras over a cofibrant operad admits a closed model category structure. This leads to the notion of "virtual operad algebra" - the algebra over a cofibrant resolution of the given operad. In particular, virtual commutative algebras can serve to an algebraic description of homotopy p-tipes as in the recent preprint of Mandell (electronic Hopf topology archive, october '98, see http://www.hopf.math.purdue.edu. Our main result allows one to significally simplify the proof of Mandell's theorem.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/9907115
dc.identifierhttp://arxiv.org/abs/math/9907115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78841
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject18G55; 55P99
dc.titleVirtual operad algebras and realization of homotopy types
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