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Homotopy associativity of sphere extensions

Published online by Cambridge University Press:  20 January 2009

N. Iwase
N. Iwase
Affiliation:
Permanent Address: Department of MathematicsOkayama UniversityTsushima-Naka Okayama 700, Japan
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Throughout this paper, we work in the category of (p-localized) spaces having the homotopy type of connected CW-complexes of finite type with base point. We consider a principal bundle

where Gn = SU(n), U(n) or Sp(n) and d = 1, 1 or 2 respectively. In this case, the bundle is obtained as an induced bundle by a mapping f of base space S2dn−1 from the classical group extension as follows:

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 3 , October 1989 , pp. 459 - 472
Copyright
Copyright © Edinburgh Mathematical Society 1989

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