Volume 14, issue 5 (2014)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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Calculus of functors and model categories, II

Georg Biedermann and Oliver Röndigs

Algebraic & Geometric Topology 14 (2014) 2853–2913
Abstract

This is a continuation, completion, and generalization of our previous joint work with Boris Chorny [Adv. Math. 214 (2007) 92–115]. We supply model structures and Quillen equivalences underlying Goodwillie’s constructions on the homotopy level for functors between simplicial model categories satisfying mild hypotheses.

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Keywords
calculus of functors, model structures
Mathematical Subject Classification 2000
Primary: 55U35
Secondary: 18G55
References
Publication
Received: 12 August 2013
Revised: 31 December 2013
Accepted: 16 January 2014
Published: 5 November 2014
Authors
Georg Biedermann
Institut für Mathematik
Universität Osnabrück
D-49069 Osnabrück
Germany
Oliver Röndigs
Institut für Mathematik
Universität Osnabrück
D-49069 Osnabrück
Germany