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Handbook of algebraic topology

Author: I M James
Publisher: Amsterdam ; New York : Elsevier Science B.V., 1995.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Algebraic topology, also known as homotopy theory, is a branch of modern mathematics. This book provides an overview of this branch and consists of 27 expository surveys covering the most active  Read more...

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Document Type: Book
All Authors / Contributors: I M James
ISBN: 0444817794 9780444817792
OCLC Number: 32665856
Description: x, 1324 pages : illustrations ; 25 cm
Contents: Homotopy types / H.-J. Baues --
Homotopy theories and model categories / W.G. Dwyer and J. Spalinski --
Proper homotopy theory / T. Porter --
Introduction to fibrewise homotopy theory / I.M. James --
Coherent homotopy over a fixed space / K.A. Hardie and K.H. Kamps --
Modern foundations for stable homotopy theory / A.D. Elmendorf, I. Kriz, M. Mandell, and J.P. May --
Completions in algebra and topology ; Equivariant stable homotopy theory / J.P.C. Greenlees and J.P. May --
The stable homotopy of finite complexes / D.C. Ravenel --
The EHP sequence and periodic homotopy / M. Mahowald and R.D. Thompson --
Introduction to nonconnective Im(J)-theory / K. Knapp --
Applications of nonconnective Im(J)-theory / M.C. Crabb and K. Knapp --
Stable homotopy and iterated loop spaces / G. Carlsson and R.J. Milgram --
Stable operations in generalized cohomology / J.M. Boardman --
Unstable operations in generalized cohomology / J.M. Boardman, D.C. Johnson, and W.S. Wilson --
Differential graded algebras in topology / Y. Felix, S. Halperin, and J.-C. Thomas --
Real and rational homotopy theory / E.H. Brown, Jr. and R.H. Szczarba --
Cohomology of groups / D.J. Benson and P.H. Kropholler --
Homotopy theory of Lie groups / M. Mimura --
Computing vl-periodic homotopy groups of spheres and some compact Lie groups / D.M. Davis --
Classifying spaces of compact Lie groups and finite loop spaces / D. Notbohm --
H-spaces with finiteness conditions / J.P. Lin --
Co-H-spaces / M. Arkowitz --
Fibration and product decompositions in nonstable homotopy theory / F.R. Cohen --
Phantom maps / C.A. McGibbon --
Wall's finiteness obstruction / G. Mislin --
Lusternik-Schnirelmann category / I.M. James.
Other Titles: Algebraic topology
Responsibility: edited by I.M. James.
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