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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Calculating and interpreting the Mislin genus
of a special class of nilpotent spaces


Authors: Peter Hilton and Dirk Scevenels
Journal: Proc. Amer. Math. Soc. 127 (1999), 3433-3438
MSC (1991): Primary 55P60; Secondary 20F18
Published electronically: June 17, 1999
MathSciNet review: 1644018
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that there is a bijection between the Mislin genus of a circle bundle over a certain nilpotent base space $M$, which is constructed from a nilpotent group $N$ of a certain specified type, and the Mislin genus of $N$ itself.


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Additional Information

Peter Hilton
Affiliation: Department of Mathematical Sciences, State University of New York, Binghamton, New York 13902–6000

Dirk Scevenels
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816–1364; Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3001 Heverlee, Belgium
Email: dirk.scevenels@wis.kuleuven.ac.be

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05202-8
PII: S 0002-9939(99)05202-8
Received by editor(s): February 9, 1998
Published electronically: June 17, 1999
Communicated by: Ralph Cohen
Article copyright: © Copyright 1999 American Mathematical Society