Fibre Bundles / by D. Husemöller.

Format:

Book

Author/Creator:

Husemöller, Dale, author.

Contributor:

SpringerLink (Online service)

Series:

Graduate texts in mathematics 2197-5612 ; 20.

Graduate Texts in Mathematics, 2197-5612 ; 20

Language:

English

Subjects (All):

Topology.

Local Subjects:

Topology.

Physical Description:

1 online resource (XV, 327 pages).

Edition:

Second edition 1966.

Contained In:

Springer Nature eBook

Place of Publication:

New York, NY : Springer New York : Imprint: Springer, 1966.

System Details:

text file PDF

Contents:

1 Preliminaries on Homotopy Theory

I The General Theory of Fibre Bundles

2 Generalities on Bundles

3 Vector Bundles

4 General Fibre Bundles

5 Local Coordinate Description of Fibre Bundles

6 Change of Structure Group in Fibre Bundles

7 Calculations Involving the Classical Groups

II Elements of K-Theory

8 Stability Properties of Vector Bundles

9 Relative K-Theory

10 Bott Periodicity in the Complex Case

11 Clifford Algebras

12 The Adams Operations and Representations

13 Representation Rings of Classical Groups

14 The Hopf Invariant

15 Vector Fields on the Sphere and Stable Homotopy

III Characteristic Classes

16 Chern Classes and Stiefel-Whitney Classes

17 Differentiable Manifolds

18 General Theory of Characteristic Classes

appendix 1: Dold's theory of local properties of bundles

appendix 2: On the double suspension

4. Single suspension sequences

7. Double suspension sequences.

Other Format:

Printed edition:

ISBN:

9781475740080

Access Restriction:

Restricted for use by site license.