1 citations · 1 across the 5 of their papers we have counts for
7 papers
Constructing monads from cubical diagrams and homotopy colimits
Kristine Bauer, Robyn Brooks, Kathryn Hess +3
This paper is the first step in a general program for defining cocalculus towers of functors via sequences of compatible monads. Goodwillie's calculus of homotopy functors inspired…
Cofibrantly generated model structures for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a genera…
Enriched functor categories for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable f…
Directional derivatives and higher order chain rules for abelian functor calculus
Kristine Bauer, Brenda Johnson, Christina Osborne +2
In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category…
Combinatorial models for Taylor polynomials of functors
Kristine Bauer, Rosona Eldred, Brenda Johnson +1
Goodwillie's calculus of homotopy functors associates a tower of polynomial approximations, the Taylor tower, to a functor of topological spaces over a fixed space. We define a new…
Unbased calculus for functors to chain complexes
Maria Basterra, Kristine Bauer, Agnes Beaudry +4
Recently, the Johnson-McCarthy discrete calculus for homotopy functors was extended to include functors from an unbased simplicial model category to spectra. This paper completes t…