Homotopy theory of small diagrams over large categories

Boris Chorny; William G. Dwyer

doi:10.1515/FORUM.2009.009

Homotopy theory of small diagrams over large categories

Boris Chorny, William G. Dwyer

Research output: Contribution to journal › Article › peer-review

Abstract

Let be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from to simplicial sets. As an application we construct homotopy localization functors on the category of simplicial sets which satisfy a stronger universal property than the customary homotopy localization functors do.

Original language	English
Pages (from-to)	167-179
Number of pages	13
Journal	Forum Mathematicum
Volume	21
Issue number	2
DOIs	https://doi.org/10.1515/FORUM.2009.009
State	Published - Mar 2009
Externally published	Yes

Bibliographical note

Funding Information:
The second author was partially supported by National Science Foundation grant DMS-0204169.The authors would like to thank the Mittag-Leffler Institute for its hospitality during the period in which this paper was completed.

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/FORUM.2009.009

Cite this

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Homotopy theory of small diagrams over large categories

Abstract

Bibliographical note

ASJC Scopus subject areas

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