Homotopy theory of small diagrams over large categories

被引：12

作者：

Chorny, Boris ^{[1
]}

Dwyer, William G. ^{[2
]}

机构：

[1] ETH Zentrum, D MATH, CH-8059 Zurich, Switzerland

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

FORUM MATHEMATICUM | 2009年 / 21卷 / 02期

基金：

美国国家科学基金会;

关键词：

SPACES; FUNCTORS;

D O I：

10.1515/FORUM.2009.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be a large category which is cocomplete. We construct a model structure ( in the sense of Quillen) on the category of small functors from D 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.

引用

页码：167 / 179

页数：13

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