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Homotopy Theory And Duality

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Author(s): P. Hilton
Series: Notes on Mathematics & Its Applications Ser
Edition: 0
Publisher: Gordon & Breach
Year: 1965

Language: English
Pages: C, x+224, B

Cover

S Title

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

Back Cover