4 papers
Subgroup collections controlling the homotopy type of a -local compact group
Eva Belmont, Natàlia Castellana, Kathryn Lesh
Let (S,F,L) be a p-local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that ar…
A new approach to mod 2 decompositions of BSU(2) and BSO(3)
Eva Belmont, Natàlia Castellana, Jelena Grbić +2
Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgrou…
P-Toral Approximations Compute Bredon Homology
Gregory Z. Arone, William G. Dwyer, Kathryn Lesh
We study Bredon homology approximations for spaces with an action of a compact Lie group G. We show that if M is a coMackey functor satisfying mild p-locality conditions, then Bred…
Augmented Gamma-spaces, the stable rank filtration, and a bu-analogue of the Whitehead Conjecture
Gregory Arone, Kathryn Lesh
We explore connections between our earlier work, in which we constructed spectra that interpolate between bu and HZ, and earlier work of Kuhn and Priddy on the Whitehead conjecture…