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On the KOℤ/2-Euler class, I

Published online by Cambridge University Press:  14 November 2011

M. C. Crabb
Affiliation:
Department of Mathematics, University of Aberdeen, Aberdeen AB9 2TY, Scotland, U.K

Synopsis

This paper presents a systematic account of ℤ/2-equivariant KO-theoretic methods in the study of r-fields (that is, r linearly independent cross-sections, r ≧ 1) on a real vector bundle. Applications of the theory to the problem of immersing complex and quaternionic projective spaces in Euclidean space are given in [13].

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1991

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