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

Hilton, Peter; Scevenels, Dirk

doi:10.1090/S0002-9939-99-05202-8

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.

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