4 citations · 5 across the 4 of their papers we have counts for
5 papers
Classifying rational G-spectra for profinite G
David Barnes, Danny Sugrue
For G an arbitrary profinite group, we construct an algebraic model for rational G-spectra in terms of G-equivariant sheaves over the space of subgroups of G. This generalises the…
Equivariant sheaves for profinite groups
David Barnes, Danny Sugrue
We study equivariant sheaves over profinite spaces, where the group is also taken to be profinite. We resolve a serious deficit in the existing theory by constructing a good notion…
The equivalence between rational G-sheaves and rational G-Mackey functors for profinite G
David Barnes, Danny Sugrue
For G a profinite group, we construct an equivalence between rational G-Mackey functors and a certain full subcategory of G-sheaves over the space of closed subgroups of G called W…
Rational -spectra for profinite
Danny Sugrue
In this thesis we will investigate rational G-spectra for a profinite group G. We will provide an algebraic model for this model category whose injective dimension can be calculate…
Injective dimension of sheaves of rational vector spaces
Danny Sugrue
The Cantor-Bendixson rank of a topological space X is a measure of the complexity of the topology of X. The Cantor-Bendixson rank is most interesting when the space is profinite: H…