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The Topology of Stiefel Manifolds : London Mathematical Society Lecture Notes - I. M. James

The Topology of Stiefel Manifolds

London Mathematical Society Lecture Notes


Published: 7th March 1977
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Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard University, describe the state of knowledge of the subject, as well as the outstanding problems. The emphasis throughout is on applications (within the subject) rather than on theory. However, such theory as is required is summarized and references to the literature are given, thus making the book accessible to non-specialists and particularly graduate students. Many examples are given and further problems suggested.

Introduction: algebra versus topology
The Stiefel manifolds
The auxiliary spaces
Retractible fibrations
Thom spaces
Homotopy equivariance
Cross-sections and the S-type
Relative Stiefel manifolds
Cannibalistic characteristic classes
Exponential characteristic classes
The main theorem of J-theory
The fibre suspension
Canonical automorphisms
The iterated suspension
Samelson products
The Hopf construction
The Bott suspension
The intrinsic join again
Homotopy- commutativity
The triviality problem
When is Pn, k neutral?
When is V n, 2 neutral?
When is V n, k neutral?
Further results and problems
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521213349
ISBN-10: 0521213347
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 180
Published: 7th March 1977
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.04
Weight (kg): 0.27