Algebraic and Classical Topology
eBook - PDF

Algebraic and Classical Topology

The Mathematical Works of J. H. C. Whitehead

  1. 364 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic and Classical Topology

The Mathematical Works of J. H. C. Whitehead

Book details
Table of contents
Citations

About This Book

Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960. This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most. This book will prove useful to mathematicians.

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Information

Publisher
Pergamon
Year
2014
ISBN
9781483184777

Table of contents

  1. Front Cover
  2. Algebraic and Classical Topology
  3. Copyright Page
  4. Table of Contents
  5. EDITORIAL PREFACE
  6. ACKNOWLEDGMENT
  7. PUBLICATIONS OF J. H. C. WHITEHEAD
  8. CHAPTER 1. ON CERTAIN THEOREMS OF G. W. WHITEHEAD
  9. CHAPTER 2. NOTE ON THE WHITEHEAD PRODUCT
  10. CHAPTER 3. NOTE ON FIBRE SPACES
  11. CHAPTER 4. THE HOMOTOPY THEORY OF SPHERE BUNDLES OVER SPHERES (I)
  12. CHAPTER 5. THE HOMOTOPY THEORY OF SPHERE BUNDLES OVER SPHERES (II)
  13. CHAPTER 6. ON FIBRE SPACES IN WHICH THE FIBRE IS CONTRACT!BLE
  14. CHAPTER 7. OBSTRUCTIONS TO COMPRESSION
  15. CHAPTER 8. A FIRST APPROXIMATION TO HOMOTOPY THEORY
  16. CHAPTER 9. THE THEORY OF CARRIERS AND S-THEORY
  17. CHAPTER 10. DUALITY IN HOMOTOPY THEORY
  18. CHAPTER 11. DUALITY IN TOPOLOGY
  19. CHAPTER 12. DUALITY BETWEEN CW-LATTICES
  20. CHAPTER 13. DUALITY IN RELATIVE HOMOTOPY THEORY
  21. CHAPTER 14. HOMOLOGY WITH ZERO COEFFICIENTS
  22. CHAPTER 15. NOTE ON THE CONDITION n-colc
  23. CHAPTER 16. ON INVOLUTIONS OF SPHERES
  24. CHAPTER 17. ON 2-SPHERES IN 3-MANIFOLDS
  25. CHAPTER 18. ON FINITE COCYCLES AND THE SPHERE THEOREM
  26. CHAPTER 19. A PROOF AND EXTENSION OF DEHN'S LEMMA
  27. CHAPTER 20. THE IMMERSION OF AN OPEN 3-MANIFOLD IN EUCLIDEAN 3-SPACE
  28. CHAPTER 21. MANIFOLDS WITH TRANSVERSE FIELDS IN EUCLIDEAN SPACE
  29. CHAPTER 22. IMBEDDING OF MANIFOLDS IN EUCLIDEAN SPACE
  30. CONTENTS OF VOLUMES I TO IV