Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



On $\mathit{h}$-cobordisms of spherical space forms

Authors: Slawomir Kwasik and Reinhard Schultz
Journal: Proc. Amer. Math. Soc. 127 (1999), 1525-1532
MSC (1991): Primary 57R80, 57S25
Published electronically: January 29, 1999
MathSciNet review: 1473672
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Given a manifold $M$ of dimension at least 4 whose universal covering is homeomorphic to a sphere, the main result states that a compact manifold $W$ is isomorphic to a cylinder $M\times [0,1]$ if and only if $W$ is homotopy equivalent to this cylinder and the boundary is isomorphic to two copies of $M$; this holds in the smooth, PL and topological categories. The result yields a classification of smooth, finite group actions on homotopy spheres (in dimensions $\geq 5$) with exactly two singular points.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 57R80, 57S25

Retrieve articles in all journals with MSC (1991): 57R80, 57S25

Additional Information

Slawomir Kwasik
Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118

Reinhard Schultz
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521

Received by editor(s): June 23, 1997
Received by editor(s) in revised form: September 2, 1997
Published electronically: January 29, 1999
Additional Notes: The first author was partially supported by NSF Grant DMS 91-01575 and by a COR grant from Tulane University. The second author was partially supported by NSF grant DMS 91-02711.
Communicated by: Thomas Goodwillie
Article copyright: © Copyright 1999 American Mathematical Society