Goodwillie Calculus

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arxiv 1902.00803 v1 pith:ZJXZ7V6R submitted 2019-02-02 math.AT

Gregory Arone , Michael Ching This is my paper

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keywords calculusgoodwillieapplicationsfunctorshomotopyrelatedsurveytheory

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We survey the theory and applications of Goodwillie's calculus of homotopy functors and related topics.

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Homology of configuration spaces in positive characteristic via point-set constructions
math.AT 2026-06 unverdicted novelty 7.0

Explicit chain complexes and spectral sequences compute homology of configuration spaces in positive characteristic, lifting Knudsen's theorem, with a conjecture on twisted coalgebra equivalences implying homotopy invariance.