(Infinity,2)-Categories and the Goodwillie Calculus I

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dc.creatorLurie, Jacob
dc.date2009-05-04
dc.date2009-05-08
dc.date.accessioned2026-07-07T13:12:33Z
dc.date.available2026-07-07T13:12:33Z
dc.descriptionThe bulk of this paper is devoted to the comparison of several models for the theory of (infinity,2)-categories: that is, higher categories in which all k-morphisms are invertible for k > 2 (the case of (infinity,n)-categories is also considered). Our ultimate goal is to lay the foundations for a study of Tom Goodwillie's calculus of functors. To this end, we have included some simple applications to the theory of first derivatives.
dc.description182 pages. Added some references
dc.identifierhttps://arxiv.org/abs/0905.0462
dc.identifierhttp://arxiv.org/abs/0905.0462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229613
dc.subjectCategory Theory
dc.subjectAlgebraic Topology
dc.subject55U40
dc.title(Infinity,2)-Categories and the Goodwillie Calculus I
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