Classifying spaces of compact Lie groups that are p-compact for all prime numbers

Details Classifying spaces of compact Lie groups that are p-compact for all prime numbers Classifying spaces of compact Lie groups that are p-compact for all prime numbers

2009-03-26

arxiv.org/abs/0903.4585v1

Geom. Topol. Monogr. 10 (2007) 195-211

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 29 January 2007

Scientific paper

10.2140/gtm.2007.10.195

We consider a problem on the conditions of a compact Lie group G that the
loop space of the p-completed classifying space be a p-compact group for a set
of primes. In particular, we discuss the classifying spaces BG that are
p-compact for all primes when the groups are certain subgroups of simple Lie
groups. A survey of the p-compactness of BG for a single prime is included.

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