02143nam a22003738a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050001800195082001600213100002700229245004300256260005200299264005200351300005900403336002600462337002600488338003600514490006200550500007300612520087500685650002001560650001701580650001301597776003501610786001401645830006301659856004701722CR9780511662690UkCbUP20160624102258.0m|||||o||d||||||||cr||||||||||||091215s1980||||enk s ||1 0|eng|d a9780511662690 (ebook) z9780521280518 (paperback) aUkCbUPcUkCbUPerda00aQA612.7 b.C700a514/.242191 aCrabb, M. C.,eauthor.10aZZ/2 - Homotopy Theory /cM. C. Crabb. 1aCambridge :bCambridge University Press,c1980. 1aCambridge :bCambridge University Press,c1980. a1 online resource (136 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 44 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aThis 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 Pontrjaginâ€”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. 0aHomotopy theory 0aGroup theory 0aSymmetry08iPrint version: z9780521280518 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 44.40uhttp://dx.doi.org/10.1017/CBO9780511662690