#### Volume 13, issue 2 (2013)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Cosimplicial models for the limit of the Goodwillie tower

### Rosona Eldred

Algebraic & Geometric Topology 13 (2013) 1161–1182
##### 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.

##### Keywords
cosimplicial, Goodwillie Calculus, homotopy functor, homotopy limit, cofinal
##### Mathematical Subject Classification 2010
Primary: 55P65, 55P60
Secondary: 55P10
##### Publication
Received: 27 July 2011
Revised: 7 September 2012
Accepted: 7 September 2012
Published: 18 April 2013
##### Authors
 Rosona Eldred Department of Mathematics University of Hamburg Bundesstr. 55 D-20146 Hamburg Germany http://www.math.uni-hamburg.de/home/eldred/