A Whitehead-Ganea approach for proper Lusternik-Schnirelmann category

被引：10
|
作者：
Garcia-Calcines, J. M. [1 ]
Garcia-Diaz, P. R.
机构：
[1] Univ La Laguna, Dept Matemat Fundamental, Islas Canarias 38271, Spain
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2007年 / 142卷
关键词：
D O I：
10.1017/S0305004106009960
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish Whitehead and Ganea characterizations for proper LS-category. We use the embedding of the proper category into the exterior category, and construct in the latter a suitable closed model structure of Strom type. Then, from the axiomatic LS-category arising from the exterior homotopy category we can recover the corresponding proper LS invariants. Some applications are given.
引用
收藏
页码：439 / 457
页数：19
相关论文
共 50 条
12345