Codescent theory - I: Foundations

被引：3

作者：

Balmer, P ^{[1
]}

Matthey, M ^{[1
]}

机构：

[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2004年 / 145卷 / 1-3期

关键词：

D O I：

10.1016/j.topol.2004.05.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a cofibrantly generated model category S, a small category C and a subcategory D of C. The category S-C of functors from C to S has a model structure, with weak equivalences and fibrations defined objectwise but only on D. Our first concern is the effect of moving C, D and S. The main notion introduced here is the "D-codescent" property for objects in S-C. Our program aims at reformulating as codescent statements the Conjectures of Baum-Connes and Farrell-Jones, and, in the long run, at tackling them with new methods. We set the grounds of a systematic theory of codescent, including pull-backs, push-forwards and various invariance properties. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：11 / 59

页数：49

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