Catalogue


ZZ/2, homotopy theory [electronic resource] /
M. C. Crabb.
imprint
Cambridge [Eng.] ; New York : Cambridge University Press, 1980.
description
128 p. ; 23 cm.
ISBN
0521280516 (pbk.)
format(s)
Book
More Details
imprint
Cambridge [Eng.] ; New York : Cambridge University Press, 1980.
isbn
0521280516 (pbk.)
restrictions
Licensed for access by U. of T. users.
general note
Based on the author's thesis, Oxford.
Includes index.
catalogue key
8375515
 
Bibliography: p. 121-126.
A Look Inside
Summaries
Main Description
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.
Description for Bookstore
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.
Main Description
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.
Table of Contents
Introduction
The Euler class and obstruction theory
Spherical fibrations
Stable cohomotopy
Framed manifolds
K-theory
The image of J
The Euler characteristic
Topological Hermitian K-theory
Algebraic Hermitian K-theory
Table of Contents provided by Publisher. All Rights Reserved.

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