6 citations · 16 across the 19 of their papers we have counts for
5 papers · 2 filters
The Adams isomorphism revisited
Bastiaan Cnossen, Tobias Lenz, Sil Linskens
We establish abstract Adams isomorphisms in an arbitrary equivariantly presentable equivariantly semiadditive global category. This encompasses the well-known Adams isomorphism in…
Simplicial -modules and mild actions
Tobias Lenz, Anna Marie Schröter
We develop an analogue of the theory of -modules in the world of simplicial sets, based on actions of a certain simplicial monoid originally appearing in the const…
Partial parametrized presentability and the universal property of equivariant spectra
Bastiaan Cnossen, Tobias Lenz, Sil Linskens
We introduce a notion of partial presentability in parametrized higher category theory and investigate its interaction with the concepts of parametrized semiadditivity and stabilit…
Global model categories and topological André-Quillen cohomology
Tobias Lenz, Michael Stahlhauer
We introduce global model categories as a general framework to capture several phenomena in global equivariant homotopy theory. We then construct genuine stabilizations of these, g…
Parametrized stability and the universal property of global spectra
Bastiaan Cnossen, Tobias Lenz, Sil Linskens
We develop a framework of parametrized semiadditivity and stability with respect to so-called atomic orbital subcategories of an indexing -category , extending work of N…