28 citations · 39 across the 7 of their papers we have counts for
7 papers
Survey on the Burnside ring of compact Lie groups
Halvard Fausk
The definition and basic properties of the Burnside ring of compact Lie groups are presented, with emphasis on the analogy with the construction of the Burnside ring of finite grou…
T-model structures on chain complexes of presheaves
H. Fausk
A tensor model structure is constructed on the category of chain complexes of presheaves of R-modules for a sheaf of rings R in a Grothendieck topos. If the topos has enough points…
Generalized Artin and Brauer induction for compact Lie groups
Halvard Fausk
Let G be a compact Lie group. We present two induction theorems for certain generalized G-equivariant cohomology theories. The theory applies to G-equivariant K-theory K_G, and to…
Equivariant homotopy theory for pro-spectra
Halvard Fausk
We extend the theory of equivariant orthogonal spectra from finite groups to profinite groups, and more generally from compact Lie groups to compact Hausdorff groups. The G-homotop…
Model structures on pro-categories
Halvard Fausk, Daniel C. Isaksen
We introduce a notion of a filtered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes several known examples. We…
T-model structures
Halvard Fausk, Daniel C. Isaksen
For every stable model category with a certain extra structure, we produce an associated model structure on the pro-category pro- and a spectral sequence…