Handbook of Algebraic Topology
eBook - ePub

Handbook of Algebraic Topology

  1. 1,324 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Handbook of Algebraic Topology

About this book

Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

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Information

Publisher
North Holland
Year
1995
Print ISBN
9780444817792
eBook ISBN
9780080532981
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Foreword
  6. List of Contributors
  7. Chapter 1: Homotopy Types
  8. Chapter 2: Homotopy Theories and Model Categories
  9. Chapter 3: Proper Homotopy Theory
  10. Chapter 4: Introduction to Fibrewise Homotopy Theory
  11. Chapter 5: Coherent Homotopy over a Fixed Space
  12. Chapter 6: Modern Foundations for Stable Homotopy Theory
  13. Chapter 7: Completions in Algebra and Topology
  14. Chapter 8: Equivariant Stable Homotopy Theory
  15. Chapter 9: The Stable Homotopy Theory of Finite Complexes
  16. Chapter 10: The EHP Sequence and Periodic Homotopy
  17. Chapter 11: Introduction to Nonconnective Im(J)-Theory
  18. Chapter 12: Applications of Nonconnective Im(J)-theory
  19. Chapter 13: Stable Homotopy and Iterated Loop Spaces
  20. Chapter 14: Stable Operations in Generalized Cohomology
  21. Chapter 15: Unstable Operations in Generalized Cohomology
  22. Chapter 16: Differential Graded Algebras in Topology
  23. Chapter 17: Real and Rational Homotopy Theory
  24. Chapter 18: Cohomology of Groups
  25. Chapter 19: Homotopy Theory of Lie Groups
  26. Chapter 20: Computing v1-periodic Homotopy Groups of Spheres and some Compact Lie Groups
  27. Chapter 21: Classifying Spaces of Compact Lie Groups and Finite Loop Spaces
  28. Chapter 22: H-spaces with Finiteness Conditions
  29. Chapter 23: Co-H-Spaces
  30. Chapter 24: Fibration and Product Decompositions in Nonstable Homotopy Theory
  31. Chapter 25: Phantom Maps
  32. Chapter 26: Wall’s Finiteness Obstruction
  33. Chapter 27: Lusternik–Schnirelmann Category
  34. Subject Index

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