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arxiv: 1902.00803 · v1 · pith:ZJXZ7V6Rnew · submitted 2019-02-02 · 🧮 math.AT

Goodwillie Calculus

Gregory Arone , Michael Ching This is my paper
classification 🧮 math.AT
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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  1. 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.