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math.AT2017
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…
math.AT2015★ 2 cited
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…
math.AT2013
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…