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Softcover ISBN:  9780821846032 
Product Code:  COLL/12 
List Price:  $99.00 
MAA Member Price:  $89.10 
AMS Member Price:  $79.20 
eBook ISBN:  9781470431617 
Product Code:  COLL/12.E 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
Softcover ISBN:  9780821846032 
eBook ISBN:  9781470431617 
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 

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 wellformed subject, separate from pointset or geometric topology. At this time, Lefschetz had already proved his first fixedpoint 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.

Table of Contents

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


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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 wellformed subject, separate from pointset or geometric topology. At this time, Lefschetz had already proved his first fixedpoint 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