Cosimplicial models for the limit of the Goodwillie tower

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.

PDF Access Denied

Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 29.95:

Keywords

cosimplicial, Goodwillie Calculus, homotopy functor, homotopy limit, cofinal

Mathematical Subject Classification 2010

Primary: 55P65, 55P60

Secondary: 55P10

References

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/

Volume 13, issue 2 (2013)

Rosona Eldred

Abstract