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Graduate Texts in Mathematics #139: Topology and Geometry

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Graduate Texts in Mathematics #139: Topology and Geometry Cover

 

Synopses & Reviews

Publisher Comments:

This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.

Book News Annotation:

Intended as a textbook for a first-year graduate course on algebraic topology, with a strong flavoring in smooth manifold theory. Starting with general topology, discusses differential manifolds, cohomology, products and duality, the fundamental group, homology theory, homeotropy theory, surfaces, Lie groups, and baby bundle theory. Problems follow each section.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."---MATHEMATICAL REVIEWS

Table of Contents

Preface; 1. General Topology; 2. Diferentiable Manifolds; 3. Fundamental Group; 4. Homology Theory; 5. Cohomology; 6. Products and Duality; 7. Homotopy Theory; Appendices A-E; Bibliography; Index of Symbols; Index

Product Details

ISBN:
9780387979267
Author:
Bredon, Glen E.
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
Geometry - General
Subject:
Algebraic topology
Subject:
Topology
Subject:
Topology - General
Subject:
Geometry
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
1993. Corr. 3rd
Series:
Graduate Texts in Mathematics
Series Volume:
4
Publication Date:
January 1993
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
571
Dimensions:
235 x 155 mm 2170 gr

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Related Subjects

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Graduate Texts in Mathematics #139: Topology and Geometry New Hardcover
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$87.75 In Stock
Product details 571 pages Springer-Verlag - English 9780387979267 Reviews:
"Synopsis" by , This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."---MATHEMATICAL REVIEWS
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