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Locally constant functors

Published online by Cambridge University Press:  10 June 2009

DENIS–CHARLES CISINSKI
DENIS–CHARLES CISINSKI*
Affiliation:
LAGA, CNRS (UMR 7539), Université Paris 13, Avenue Jean-Baptiste Clément, 93430 VilletaneuseFrance. e-mail: cisinski@math.univ-paris13.fr
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Abstract

We study locally constant coefficients. We first study the theory of homotopy Kan extensions with locally constant coefficients in model categories, and explain how it characterizes the homotopy theory of small categories. We explain how to interpret this in terms of left Bousfield localization of categories of diagrams with values in a combinatorial model category. Finally, we explain how the theory of homotopy Kan extensions in derivators can be used to understand locally constant functors.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 3 , November 2009 , pp. 593 - 614
Copyright
Copyright © Cambridge Philosophical Society 2009

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