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Unstable atomicity of ΩSpin(r)

Published online by Cambridge University Press:  14 November 2011

Zafer Mahmud
Zafer Mahmud
Affiliation:
Mathematics Department, Kuwait University, P.O. Box 5969, Safat, Kuwait
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Synopsis

We determine the homomorphism induced, in Z2-cohomology, by a map f: ΩSpin(r) → ΩSpin(r). As a corollary we show that ΩSpin(r), r ≧ 9 is 2-atomic, where a space X is 2-atomic if any map f: X ≧X is either a mod 2 homotopy equivalence or f*: H*(X, Z2) → H*(X, Z2) is nilpotent.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 112 , Issue 1-2 , 1989 , pp. 53 - 69
Copyright
Copyright © Royal Society of Edinburgh 1989

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