Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics)

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9780226511818: Simplicial Objects in Algebraic Topology (Chicago Lectures in Mathematics)

Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940s, and they also play an important role in other areas such as geometric topology and algebraic geometry. On a formal level, the homotopy theory of simplicial sets is equivalent to the homotopy theory of topological spaces. In view of this equivalence, one can apply discrete, algebraic techniques to perform basic topological constructions. These techniques are particularly appropriate in the theory of localization and completion of topological spaces, which was developed in the early 1970s.

Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets, together with the equivalence of homotopy theories alluded to above. The central theme is the simplicial approach to the theory of fibrations and bundles, and especially the algebraization of fibration and bundle theory in terms of "twisted Cartesian products." The Serre spectral sequence is described in terms of this algebraization. Other topics treated in detail include Eilenberg-MacLane complexes, Postnikov systems, simplicial groups, classifying complexes, simplicial Abelian groups, and acyclic models.
 
"Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material."—Mathematical Review

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J. Peter May is professor of mathematics at the University of Chicago.

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J. Peter May
Editore: The University of Chicago Press, United States (1993)
ISBN 10: 0226511812 ISBN 13: 9780226511818
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Descrizione libro The University of Chicago Press, United States, 1993. Paperback. Condizione libro: New. Reprinted edition. Language: English . Brand New Book. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material. --Mathematical Review. Codice libro della libreria AAH9780226511818

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Descrizione libro The University of Chicago Press, United States, 1993. Paperback. Condizione libro: New. Reprinted edition. Language: English . Brand New Book. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material. --Mathematical Review. Codice libro della libreria AAH9780226511818

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Descrizione libro Univ of Chicago. Condizione libro: BRAND NEW. BRAND NEW Softcover A Brand New Quality Book from a Full-Time Bookshop in business since 1992!. Codice libro della libreria 2552413

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Descrizione libro University of Chicago press. Condizione libro: New. Brand New. Codice libro della libreria 0226511812

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Descrizione libro The University of Chicago Press. Paperback. Condizione libro: new. BRAND NEW, Simplicial Objects in Algebraic Topology (Reprinted edition), J. Peter May, Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. "Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material."--Mathematical Review. Codice libro della libreria B9780226511818

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Descrizione libro 1993. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria TX-9780226511818

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Descrizione libro 1993. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780226511818

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Descrizione libro University of Chicago Press, 1992. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria WG-9780226511818

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Descrizione libro The University of Chicago Press, United States, 1993. Paperback. Condizione libro: New. Reprinted edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets (discrete analogs of topological spaces) which have played a central role in algebraic topology ever since their introduction in the late 1940s. Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material. --Mathematical Review. Codice libro della libreria BTE9780226511818

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Descrizione libro Univ of Chicago Pr, 1993. Paperback. Condizione libro: Brand New. reprint edition. 170 pages. 8.75x5.75x0.50 inches. In Stock. Codice libro della libreria __0226511812

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