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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
ZZ/2 - Homotopy Theory

ZZ/2 - Homotopy Theory

Crabb, M. C.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 44

General MathematicsGeometry

ISBN10: 0521280516
ISBN13: 9780521280518
Publisher: Cambridge University Press
Published: Nov 28 1980
Pages: 136
Weight: 0.46
Height: 0.32 Width: 6.00 Depth: 9.00
Language: English
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. Familiarity with the basic concepts of algebraic topology (homotopy, stable homotopy, homology, K-theory, the Pontrjagin--Thom transfer construction) is assumed. Detailed proofs are not given (the expert reader will be able to supply them when necessary) yet nowhere is credibility lost. Thus the approach is elementary enough to provide an introduction to the subject suitable for graduate students although research workers will find here much of interest.

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