Title: Continuity of p-perfection for compact Lie groups
Authors: Halvard Fausk and Bob Oliver
Author's e-mail address: fausk@math.uio.no and bob@math.univ-paris13.fr
AMS classification number: 55P91

Abstract: Let G be a compact Lie group, and let pi be any prime or
set of primes.  We construct a ``pi-perfection map'': a continuous
function from the space of conjugacy classes of all closed
subgroups of G to the space of conjugacy classes of pi-perfect
subgroups with finite index in their normalizer. We use this to
show that the idempotent elements of the Burnside ring of G
localized at pi are in bijective correspondence with the open and
closed subsets of the space of conjugacy classes of pi-perfect
subgroups of G with finite index in their normalizer.