ZZ/2, homotopy theory /
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Author / Creator: | Crabb, M. C. (Michael Charles) |
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Imprint: | Cambridge [England] ; New York : Cambridge University Press, 1980. |
Description: | 1 online resource (128 pages). |
Language: | English |
Series: | London Mathematical Society lecture note series ; 44 London Mathematical Society lecture note series ; 44. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11181434 |
ISBN: | 9781107361065 1107361060 9780511662690 0511662696 0521280516 9780521280518 |
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Notes: | Based on the author's thesis, Oxford. Includes bibliographical references (pages 121-126) and index. Print version record. |
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. 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. |
Other form: | Print version: Crabb, M.C. (Michael Charles). ZZ/2, homotopy theory. Cambridge [Eng.] ; New York : Cambridge University Press, 1980 0521280516 |
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