Homological Localisation of Model Categories

被引：4

作者：

Barnes, David ^{[1
]}

Roitzheim, Constanze ^{[2
]}

机构：

[1] Queens Univ Belfast, Sch Math & Phys, Pure Math Res Ctr, Belfast BT7 1NN, Antrim, North Ireland

[2] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England

来源：

APPLIED CATEGORICAL STRUCTURES | 2015年 / 23卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Stable model categories; Bousfield localisation; SPECTRA;

D O I：

10.1007/s10485-013-9340-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One of the most useful methods for studying the stable homotopy category is localising at some spectrum E. For an arbitrary stable model category we introduce a candidate for the E-localisation of this model category. We study the properties of this new construction and relate it to some well-known categories.

引用

页码：487 / 505

页数：19

共 19 条

[1]

Barnes D, 2013, GLASGOW MATH J, V2, P1

[2]

Barnes D, 2011, N Y J MATH, V17, P513

[3] Homotopy fiber products of homotopy theories [J].