A History of Algebraic and Differential Topology 1900-1960 (Hardback)

Name: A History of Algebraic and Differential Topology 1900-1960 (Hardback)
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SKU: 1809
Price: 59.95 USD
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VERY GOOD: The book is in very good condition, showing only the slightest signs of use and wear (namely, slightly bent cover corners). The pages are clean and the binding is tight. It is printed on acid-free paper.

Product Details

From the back cover: "In its first thirty years the field [of algebraic topology] seemed limited to applications in algebraic geometry, but this changed dramatically in the 1930s with the creation of differential topology by Georges De Rham and Elie Cartan and of homotopy theory by Witold Hurewicz and Heinz Hopf. The influence of topology began to spread to more and more branches as it gradually took on a central place in mathematics.
"Written by a world-renowned mathematician, this book will make exciting reading for anyone working with topology."

BRIEF CONTENTS

Preface
Notations
PART 1. Simplicial Techniques and Homology

Introduction
Chapter I. The Work of Poincaré
Chapter II. The Build-Up of "Classical" Homology
Chapter III. The Beginnings of Differential Topology
Chapter IV. The Various Homology and Cohomology Theories

PART 2. The First Applications of Simplicial Methods and of Homology

Introduction
Chapter I. The Concept of Degree
Chapter II. Dimension Theory and Separation Theorems
Chapter III. Fixed Points
Chapter IV. Local Homological Properties
Chapter V. Quotient Spaces and Their Homology
Chapter VI. Homology of Groups and Homogeneous Spaces
Chapter VII. Applications of Homology to Geometry and Analysis

PART 3. Homotopy and its Relation to Homology

Introduction
Chapter I. Fundamental Group and Covering Spaces
Chapter II. Elementary Notation and Early Results in Homotopy Theory
Chapter III. Fibrations
Chapter IV. Homology of Fibrations
Chapter V. Sophisticated Relations between Homotopy and Homology
Chapter VI. Cohomology Operations
Chapter VII. Generalized Homology and Cohomology

Bibliography
Index of Cited Names
Subject Index

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AUTHOR: Dieudonné;Jean
PUBLISHER: Birkhauser
ISBN-13: 9780817633882
ISBN-10: 081763388X

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