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Topology
 
Topology
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
Topology
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Topology
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
  • Book Details
     
     
    Colloquium Publications
    Volume: 121930; 413 pp
    MSC: 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.

    Readership

    Graduate 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 121930; 413 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.