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THE SPACE OF LOOPS ON A HOMOGENEOUS SPACE AND RATIONAL EQUIVALENCE

Published online by Cambridge University Press:  01 July 1999

KOUYEMON IRIYE
KOUYEMON IRIYE
Affiliation:
Department of Applied Mathematics, Osaka Women's University, Sakai, Osaka, 590-0035, Japan
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Abstract

We shall construct a map Ω0(G/H)→ΠαS2nα−1× ΠβΩS2nβ−1 which is a rational equivalence with applications to phantom maps, spaces of the same n-type and genus sets. This answers in the affirmative a question of C. McGibbon.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 4 , July 1999 , pp. 484 - 488
Copyright
© The London Mathematical Society 1999

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