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

Citation
P. Hilton et D. Scevenels, Calculating and interpreting the Mislin genus of a special class of nilpotent spaces, P AM MATH S, 127(11), 1999, pp. 3433-3438
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
11
Year of publication
1999
Pages
3433 - 3438
Database
ISI
SICI code
0002-9939(199911)127:11<3433:CAITMG>2.0.ZU;2-I
Abstract
We prove that there is a bijection between the Mislin genus of a circle bun dle over a certain nilpotent base space M, which is constructed from a nilp otent group N of a certain specified type, and the Mislin genus of N itself .