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Free Group Actions on Spaces Homotopy Equivalent to a Sphere

Published online by Cambridge University Press:  04 December 2007

Ku Yong Ha ,
Jang Hyun Jo  and
Jong Bum Lee
Ku Yong Ha
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121-742 Korea. E-mail: kyha@math.sogang.ac.kr
Jang Hyun Jo
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121-742 Korea. E-mail: hyun@math.sogang.ac.kr
Jong Bum Lee
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121-742 Korea. E-mail: jlee@ccs.sogang.ac.kr
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Abstract

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For infinite-dimensional homotopy space forms X/G with G nontrivial finite cyclic groups, we study the homotopy type of X/G. We show that the Euler class of X/G is not zero if and only if X/G is finitely dominated.

Keywords

homotopy space formfinitely dominatedEuler class
Type
Research Article
Information
Compositio Mathematica , Volume 120 , Issue 3 , February 2000 , pp. 327 - 333
Copyright
© 2000 Kluwer Academic Publishers