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Homotopy Theories of Algebras over Operads
Authors:V. A. Smirnov
Affiliation:(1) Moscow State Pedagogical University, Moscow, Russia
Abstract:Homotopy theories of algebras over operads, including operads over “little n-cubes,” are defined. Spectral sequences are constructed and the corresponding homotopy groups are calculated.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 278–285.Original Russian Text Copyright © 2005 by V. A. Smirnov.
Keywords:homotopy theory  algebra over an operad  little n-cubes operad  category of chain complexes  monad  natural transformation of functors  homotopy group of spheres
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