Softcover ISBN: | 978-0-8218-4603-2 |
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eBook ISBN: | 978-1-4704-3161-7 |
Product Code: | COLL/12.E |
List Price: | $89.00 |
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AMS Member Price: | $71.20 |
Softcover ISBN: | 978-0-8218-4603-2 |
eBook: ISBN: | 978-1-4704-3161-7 |
Product Code: | COLL/12.B |
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MAA Member Price: | $169.20 $129.15 |
AMS Member Price: | $150.40 $114.80 |
Softcover ISBN: | 978-0-8218-4603-2 |
Product Code: | COLL/12 |
List Price: | $99.00 |
MAA Member Price: | $89.10 |
AMS Member Price: | $79.20 |
eBook ISBN: | 978-1-4704-3161-7 |
Product Code: | COLL/12.E |
List Price: | $89.00 |
MAA Member Price: | $80.10 |
AMS Member Price: | $71.20 |
Softcover ISBN: | 978-0-8218-4603-2 |
eBook ISBN: | 978-1-4704-3161-7 |
Product Code: | COLL/12.B |
List Price: | $188.00 $143.50 |
MAA Member Price: | $169.20 $129.15 |
AMS Member Price: | $150.40 $114.80 |
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Book DetailsColloquium PublicationsVolume: 12; 1930; 413 ppMSC: Primary 54; 55
Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a well-formed subject, separate from point-set or geometric topology. At this time, Lefschetz had already proved his first fixed-point theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory.
ReadershipGraduate students and research mathematicians interested in topology.
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Table of Contents
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Chapters
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Chapter 22. Introduction
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Chapter I. Elementary combinatorial theory of complexes
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Chapter II. Topological invariance of the homology characters
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Chapter III. Manifolds and their duality theorems
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Chapter IV. Intersections of chains on a manifold
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Chapter V. Product complexes
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Chapter VI. Transformations of manifolds, their coincidences and fixed points
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Chapter VII. Infinite complexes and their applications
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Chapter VIII. Applications to analytical and algebraic varieties
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Lefschetz's Topology was written in the period in between the beginning of topology, by Poincaré, and the establishment of algebraic topology as a well-formed subject, separate from point-set or geometric topology. At this time, Lefschetz had already proved his first fixed-point theorems. In some sense, the present book is a description of the broad subject of topology into which Lefschetz's theory of fixed points fits. Lefschetz takes the opportunity to describe some of the important applications of his theory, particularly in algebraic geometry, to problems such as counting intersections of algebraic varieties. He also gives applications to vector distributions, complex spaces, and Kronecker's characteristic theory.
Graduate students and research mathematicians interested in topology.
-
Chapters
-
Chapter 22. Introduction
-
Chapter I. Elementary combinatorial theory of complexes
-
Chapter II. Topological invariance of the homology characters
-
Chapter III. Manifolds and their duality theorems
-
Chapter IV. Intersections of chains on a manifold
-
Chapter V. Product complexes
-
Chapter VI. Transformations of manifolds, their coincidences and fixed points
-
Chapter VII. Infinite complexes and their applications
-
Chapter VIII. Applications to analytical and algebraic varieties