6 citations · 11 across the 8 of their papers we have counts for
8 papers · 1 filter
Monadicity of the Bousfield-Kuhn functor
Rosona Eldred, Gijs Heuts, Akhil Mathew +1
We consider the localization of the -category of spaces at the -periodic equivalences, the case being rational homotopy theory. We prove that this localization i…
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…
Comparing the orthogonal and homotopy functor calculi
David Barnes, Rosona Eldred
Goodwillie's homotopy functor calculus constructs a Taylor tower of approximations to F, often a functor from spaces to spaces. Weiss's orthogonal calculus provides a Taylor tower…
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…
Capturing Goodwillie's Derivative
David Barnes, Rosona Eldred
Recent work of Biedermann and Röndigs has translated Goodwillie's calculus of functors into the language of model categories. Their work focuses on symmetric multilinear functors a…
Absolutely homotopy-cartesian squares
Rosona Eldred
We call a diagram D absolutely cartesian if F(D) is homotopy cartesian for all homotopy functors F. This is a sensible notion for diagrams in categories C where Goodwillie's calcul…