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arXiv · 1108.0114

Cosimplicial models for the limit of the Goodwillie tower

Rosona Eldred
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Abstract

We call attention to the intermediate constructions $\T_n F$ in Goodwillie's Calculus of homotopy functors, giving a new model which naturally gives rise to a family of towers filtering the Taylor Tower of a functor. We also establish a surprising equivalence between the homotopy inverse limits of these towers and the homotopy inverse limits of certain cosimplicial resolutions. This equivalence gives a greatly simplified construction for the homotopy inverse limit of the Taylor tower of a functor $F$ under general assumptions.

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Rosona Eldred. 2012-10-08. Cosimplicial models for the limit of the Goodwillie tower. https://doi.org/10.2140/agt.2013.13.1161

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