Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-20T13:24:47.858Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Jang Hyun Jo
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121-742 Korea. E-mail: [email protected]
Jong Bum Lee
Affiliation:
Department of Mathematics, Sogang University, Seoul, 121-742 Korea. E-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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