Basic Course in Algebraic Topology

Name: Basic Course in Algebraic Topology
Price: 93.68 USD
Availability: InStock
ISBN: 9780387974309

ISBN-10: 038797430X

ISBN-13: 9780387974309

Edition: 3rd 1991

Authors: William S. Massey, J. H. Ewing, F. W. Gerhing, P. R. Halmos

List price: $99.99

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Description:

This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized. The text consists of material from the first five chapters of the author's earlier book, ALGEBRAIC TOPOLOGY: AN INTRODUCTION (GTM 56), together with almost all of the now out-of- print SINGULAR HOMOLOGY THEORY…

Book details

List price: $99.99
Edition: 3rd
Copyright year: 1991
Publisher: Springer New York
Publication date: 3/6/1991
Binding: Hardcover
Pages: 431
Size: 6.14" wide x 9.21" long x 0.39" tall
Weight: 1.914
Language: English




Two-Dimensional Manifolds



The Fundamental Group



Free Groups and Free Products of Groups



Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications



Covering Spaces



Background and Motivation for Homology Theory



Definitions and Basic Properties of Homology Theory



Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory



Homology of CW-Complexes



Homology with Arbitrary Coefficient Groups



The Homology of Product Spaces



Cohomology Theory



Products in Homology and Cohomology



Duality Theorems for the Homology of Manifolds



Cup Products in Projective Spaces and Applications of Cup Products



A Proof of De Rham's Theorem



Permutation Groups or Tranformation Groups