11 citations · 34 across the 24 of their papers we have counts for
5 papers · 1 filter
The Uniform Homotopy Category
Sanjeevi Krishnan, Crichton Ogle
This paper gives a uniform-theoretic refinement of classical homotopy theory. Both cubical sets (with connections) and uniform spaces admit classes of weak equivalences, special ca…
On the chromatic localization of the homotopy completion tower for -algebras
Crichton Ogle, Nikolas Schonsheck
The completion tower of a nonunital commutative ring is a classical construction in commutative algebra. In the setting of structured ring spectra as modeled by algebras over a spe…
On the structure of modules indexed by small categories
Crichton Ogle, Sami Sultan
Given a small category C, a C-module M is a functor from C to the category of finite-dimensional vector spaces over a field k. Associated to M is its local structure, given as a fu…
-theory of Hermitian Mackey functors and a reformulation of the Novikov Conjecture
Emanuele Dotto, Crichton Ogle
We define a genuine -equivariant real algebraic -theory spectrum , for every genuine -equivariant spectrum equipped with a compatible mult…
Totalization of simplicial homotopy types
Crichton Ogle, Andrew Salch
We identify the obstructions for the functoriality and the uniqueness of the totalization functor, (partially) defined on the category of simplicial objects in the homotopy categor…