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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486457869
ISBN-139780486457864
eBay Product ID (ePID)58649312
Product Key Features
Number of Pages198 Pages
LanguageEnglish
Publication NameIntroduction to Algebraic Topology
SubjectGeneral, Topology
Publication Year2007
TypeTextbook
AuthorAndrew H. Wallace
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height0.5 in
Item Weight8.1 Oz
Item Length8.4 in
Item Width5.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2006-051799
Dewey Edition22
TitleLeadingAn
IllustratedYes
Dewey Decimal514.2
Table Of ContentPrerequisitesI. IntroductionII. Topological SpacesIII. Topological Properties of SpacesIV. The Fundamental GroupV. The Homology GroupsVI. Continuous Mappings and the Homology GroupsVII. Barycentric Subdivision and ExcisionVIII. The Homology SequenceIX. Simplicial ComplexesGuide to Further ReadingIndex
SynopsisThis self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and continuous mapping, barycentric subdivision and excision, the homology sequence, and simplicial complexes. Exercises form an integral part of the text; they include theorems that are as valuable as some of those whose proofs are given in full. Author Andrew H. Wallace, Professor Emeritus at the University of Pennsylvania, concludes the text with a guide to further reading., This self-contained treatment assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, after which the text proceeds to homology groups and continuous mapping, barycentric subdivision, and simplicial complexes. Exercises form an integral part of the text. 1961 edition.