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More Concise Algebraic Topology: Localization, , May, Ponto Hardcover+=

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
PublishedOn
2012-01-13
Title
More Concise Algebraic Topology: Localization, Completion, and M
Artist
Not Specified
ISBN
9780226511788

About this product

Product Identifiers

Publisher
University of Chicago Press
ISBN-10
0226511782
ISBN-13
9780226511788
eBay Product ID (ePID)
109132835

Product Key Features

Number of Pages
544 Pages
Publication Name
More Concise Algebraic Topology : Localization, Completion, and Model Categories
Language
English
Publication Year
2012
Subject
Algebra / Abstract, Topology
Type
Textbook
Author
K. Ponto, J. P. May
Subject Area
Mathematics
Series
Chicago Lectures in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.2 in
Item Weight
29 Oz
Item Length
0.9 in
Item Width
0.7 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2011-012400
Dewey Edition
22
Reviews
May and Ponto have done an excellent job of assembling important results scattered throughout the mathematical literature, primarily in research articles, into a coherent, compelling whole. All researchers in algebraic topology should have at least a passing acquaintance with the material treated in this book, much of which does not appear in any of the standard texts., This book fills thus a gap in the literature and will certainly serve as a reference in the field.
Illustrated
Yes
Dewey Decimal
514/.2
Synopsis
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May's A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.
LC Classification Number
QA612.M388 2012

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