**Colloquium Publications**

Volume: 12;
1930;
413 pp;
Softcover

MSC: Primary 54; 55;

Print ISBN: 978-0-8218-4603-2

Product Code: COLL/12

List Price: $84.00

Individual Member Price: $67.20

**Electronic ISBN: 978-1-4704-3161-7
Product Code: COLL/12.E**

List Price: $84.00

Individual Member Price: $67.20

# Topology

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*Solomon Lefschetz*

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.

#### Readership

Graduate students and research mathematicians interested in topology.

#### Table of Contents

# Table of Contents

## Topology

- Cover Cover11
- Title page i2
- Preface to second edition iii4
- Preface v6
- Contents ix10
- Introduction 114
- Chapter I. Elementary combinatorial theory of complexes 720
- Chapter II. Topological invariance of the homology characters 7386
- Chapter III. Manifolds and their duality theorems 116129
- Chapter IV. Intersections of chains on a manifold 162175
- Chapter V. Product complexes 222235
- Chapter VI. Transformations of manifolds, their coincidences and fixed points 247260
- Chapter VII. Infinite complexes and their applications 294307
- Chapter VIII. Applications to analytical and algebraic varieties 364377
- Bibliography 396409
- Addenda 412425
- Index Back Cover1427
- Back Cover Back Cover1427