ZZ/2 - Homotopy Theory / M. C. Crabb.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 44Publisher: Cambridge : Cambridge University Press, 1980Description: 1 online resource (136 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511662690 (ebook)Subject(s): Homotopy theory | Group theory | SymmetryAdditional physical formats: Print version: : No titleDDC classification: 514/.24 LOC classification: QA612.7 | .C7Online resources: Click here to access online 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK12069 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
There are no comments on this title.