Simplicial and Operad Methods in Algebraic Topology 0821821709, 9780821821701

In recent years, for solving problems of algebraic topology and, in particular, difficult problems of homotopy theory, a

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English, Russian Pages 235 [248] Year 2001

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Simplicial and Operad Methods in Algebraic Topology
 0821821709, 9780821821701

Table of contents :
Content: Operads in the category of topological spaces Simplicial objects and homotopy theory Algebraic structures on chain complexes $A_\infty$-structures on chain complexes Operads and algebras over operads Homoloty of iterated loop spaces Homotopy theories and $E_\infty$-structures Operad methods in cobordism theory Description of the cohomology of groups and algebras Homology operations and differentials in the Adams spectral sequence Bibliography Index.

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