A streamlined proof of Goodwillie’s n–excisive approximation

Rezk, Charles

doi:10.2140/agt.2013.13.1049

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A streamlined proof of Goodwillie's $n$–excisive approximation

Charles Rezk

Algebraic & Geometric Topology 13 (2013) 1049–1051

DOI: 10.2140/agt.2013.13.1049

Abstract

We give a shorter proof of Goodwillie’s, [Geom. Topol. 7 (2003) 645–711; Lemma 1.9], which is the key step in proving that the construction $P_{n} F$ gives an $n$ –excisive functor.

Keywords

calculus of functors

Mathematical Subject Classification 2010

Primary: 55P99

References

Publication

Received: 21 March 2011

Revised: 8 December 2012

Accepted: 2 January 2013

Published: 17 April 2013

Authors

Charles Rezk
Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street Urbana, IL 61801 USA
http://www.math.uiuc.edu/~rezk/

Volume 13, issue 2 (2013)