| Document Type
|
:
|
BL
|
| Record Number
|
:
|
660160
|
| Doc. No
|
:
|
dltt
|
| Uniform Title
|
:
|
Simplit͡sialʹnye i operadnye metody v algebraicheskoĭ topologii.English
|
| Main Entry
|
:
|
Smirnov, V. A., (Vladimir Alekseevich),1949-
|
| Title & Author
|
:
|
Simplicial and operad methods in algebraic topology /\ V.A. Smirnov.
|
| Publication Statement
|
:
|
Providence, R.I. :: American Mathematical Society,, c2001.
|
| Series Statement
|
:
|
Translations of mathematical monographs,; v. 198
|
| Page. NO
|
:
|
x, 235 p. ;; 27 cm.
|
| ISBN
|
:
|
0821821709 (acid-free paper)
|
|
|
:
|
: 9780821821701 (acid-free paper)
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (p. 231-232) and index.
|
| Contents
|
:
|
Operads in the Category of Topological Spaces -- A[infinity]-structure on a loop space -- Operads and spaces over operads -- Little cubes operads and loop spaces -- Operads and monads -- Bioperads in the category of topological spaces -- Simplicial Objects and Homotopy Theory -- Simplicial and cosimplicial objects -- Simplicial sets -- A[infinity]-simplicial objects and A[infinity]-topological groups -- Homotopy type and A[infinity]-group structure -- Algebraic Structures on Chain Complexes -- Chain complexes -- Algebras and modules over an algebra -- Twisted tensor products and functor D -- Bar constructions and cobar constructions -- Lie modules and comodules -- [logical or]-algebras and [logical and]-coalgebras -- A[infinity]-Structures on Chain Complexes -- A[infinity]-algebras and A[infinity]-coalgebras -- A[infinity]-modules and A[infinity]-comodules -- A[infinity]-[logical or]-algebras and A[infinity]-[logical and]-coalgebras -- Commutative A[infinity]-algebras and A[infinity]-coalgebras -- The functor D for A[infinity]-algebras -- Operads and Algebras over Operads -- Operads in the category of chain complexes -- Algebras and coalgebras over operads -- E[infinity]-structure on cobar constructions -- Bar constructions on operads -- Bar constructions on algebras over operads -- Homology and cohomology of an E[infinity]-operad -- Homology of Iterated Loop Spaces -- Chain complex of an iterated loop space -- Computation of the second term of the spectral sequence of iterated loop spaces.
|
| Subject
|
:
|
Algebraic topology.
|
| Subject
|
:
|
Ordered algebraic structures.
|
| Subject
|
:
|
Operads.
|
| LC Classification
|
:
|
QA612.S5813 2001
|