Handbook of Algebraic Topology

Front Cover
I.M. James
Elsevier, Jul 18, 1995 - Mathematics - 1324 pages
2 Reviews

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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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Contents

Chapter 2 Homotopy theories and model categories
73
Chapter 3 Proper homotopy theory
127
Chapter 4 Introduction to fibrewise homotopy theory
169
Chapter 5 Coherent homotopy over a fixed space
195
Chapter 6 Modem foundations for stable homotopy theory
213
Chapter 7 Completions in algebra and topology
255
Chapter 8 Equivariant stable homotopy theory
277
Chapter 9 The stable homotopy theory of finite complexes
325
Chapter 16 Differential graded algebras in topology
829
Chapter 17 Real and rational homotopy theory
867
Chapter 18 Cohomology of groups
917
Chapter 19 Homotopy theory of Lie groups
951
Chapter 20 Computing v1periodic homotopy groups of spheres and some compact Lie groups
993
Chapter 21 Classifying spaces of compact Lie groups and finite loop spaces
1049
Chapter 22 Hspaces with finiteness conditions
1095
Chapter 23 CoHspaces
1143

Chapter 10 The EHP sequence and periodic homotopy
397
Chapter 11 Introduction to nonconnective ImJtheory
425
Chapter 12 Applications of nonconnective Im Jtheory
463
Chapter 13 Stable homotopy and iterated loop spaces
505
Chapter 14 Stable operations in generalized cohomology
585
Chapter 15 Unstable operations in generalized cohomology
687
Chapter 24 Fibration and product decompositions in nonstable homotopy theory
1175
Chapter 25 Phantom maps
1209
Chapter 26 Walls finiteness obstruction
1259
Chapter 27 LusternikSchnirelmann category
1293
Subject Index
1311
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About the author (1995)

James, University of Oxford, UK.

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