50 citations · 93 across the 14 of their papers we have counts for
4 papers · 2 filters
Manifolds, K-theory and the calculus of functors
Gregory Arone, Michael Ching
The Taylor tower of a functor from based spaces to spectra can be classified according to the action of a certain comonad on the collection of derivatives of the functor. We descri…
Cross-effects and the classification of Taylor towers
Gregory Arone, Michael Ching
Let F be a homotopy functor with values in the category of spectra. We show that partially stabilized cross-effects of F have an action of a certain operad. For functors from based…
Coalgebraic models for combinatorial model categories
Michael Ching, Emily Riehl
We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In partic…
Higher homotopy excision and Blakers-Massey theorems for structured ring spectra
Michael Ching, John E. Harper
Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers-Massey theorems, and their duals, for algebras and left modules over operads in th…