Calculating and interpreting the Mislin genus of a special class of nilpotent spaces
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- by Peter Hilton and Dirk Scevenels PDF
- Proc. Amer. Math. Soc. 127 (1999), 3433-3438 Request permission
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.References
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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
- Received by editor(s): February 9, 1998
- Published electronically: June 17, 1999
- Communicated by: Ralph Cohen
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3433-3438
- MSC (1991): Primary 55P60; Secondary 20F18
- DOI: https://doi.org/10.1090/S0002-9939-99-05202-8
- MathSciNet review: 1644018