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ZZ/2, homotopy theory

Author: M C Crabb
Publisher: Cambridge [England] ; New York : Cambridge University Press, 1980.
Series: London Mathematical Society lecture note series, 44.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This account is a study of twofold symmetry in algebraic topology. The author discusses specifically the antipodal involution of a real vector bundle - multiplication by - I in each fibre; doubling and squaring operations; the symmetry of bilinear forms and Hermitian K-theory. In spite of its title, this is not a treatise on equivariant topology; rather it is the language in which to describe the symmetry.  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Crabb, M.C. (Michael Charles).
ZZ/2, homotopy theory.
Cambridge [Eng.] ; New York : Cambridge University Press, 1980
(DLC) 80040703
(OCoLC)6627386
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: M C Crabb
ISBN: 9781107361065 1107361060 9780511662690 0511662696
OCLC Number: 839303174
Notes: Based on the author's thesis, Oxford.
Description: 1 online resource (128 pages).
Contents: Acknowledgements; 1. Introduction; 2. The Euler class and obstruction theory; 3. Spherical fibrations; 4. Stable cohomotopy; 5. Framed manifolds; A. Appendix: on the Hopf variant; 6. K-theory; 7. The image of J; 8. The Euler characteristic; 9. Topological Hermitian K-theory; 10. Algebraic Hermitian K-theory; B. Appendix: on the Hermitian J-homomorphism; Bibliography; Index.
Series Title: London Mathematical Society lecture note series, 44.
Responsibility: M.C. Crabb.
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Abstract:

This account is a study of twofold symmetry in algebraic topology. The author discusses specifically the antipodal involution of a real vector bundle - multiplication by - I in each fibre; doubling  Read more...

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