Homotopy Theory And Duality

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Notes on Mathematics and its Applications

Homotopy Theory and Duality

COPYRIGHT © 1965 BY GORDON AND BREACH
     LCCN  65024868

General Preface

Preface

Contents

CHAPTER 1  Natural Group Structure in \Pi (A, B)

CHAPTER 2  Suspension and Loop Space

CHAPTER 3  The Category of Pairs

CHAPTER 4  Exact Sequences

CHAPTER 5  Universal Coefficient Theorem for Homotopy Groups

CHAPTER 6  Induced Fibre and Cofibre Maps

CHAPTER 7  Fibrations with Fibre an Eilenberg-MacLane Space and the Dual Question

CHAPTER 8  Homology Decomposition of aI-Connected Polyhedron
     Examples
     Appendix to Ch. 8

CHAPTER 9  Exact Sequences in the Category of Pairs

CHAPTER 10  Homology and Homotopy Decompositions of Maps

CHAPTER 11  Examples of Duality
     (1) Operators and Cooperators
     (2) Borsuk Dependence [II].
     (3) Retracts and Sections.

CHAPTER 12  Homotopy Operations
     Appendix to Ch. 12. Computations

CHAPTER 13  Homotopy Theory of Modules

CHAPTER 14  The Duality in a Category with Sums and Products

CHAPTER 15  Applications of Operators and Cooperators

CHAPTER 16  Cohomology and Homotopy Products

CHAPTER 17  Further Applications of Operators and Cooperators

Bibliography

Index

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