The Ganea conjecture in proper homotopy via exterior homotopy theory

被引:4
|
作者
Garcia-Calcines, Jose M. [1 ]
Garcia-Diaz, Pedro R. [1 ]
Murillo Mas, Aniceto [2 ]
机构
[1] Univ La Laguna, Dept Matemat Fundamental, Islas Canarias 38271, Spain
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain
关键词
L-S CATEGORY; LUSTERNIK-SCHNIRELMANN CATEGORY; MODEL CATEGORY; MANIFOLDS; SPACES;
D O I
10.1017/S0305004110000174
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we provide sufficient conditions on a space X to verify Ganea conjecture with respect to exterior and proper Lusternik-Schnirelmann category. For this aim we previously develop an exterior version of the Whitehead, cellular approximation, CW-approximation and Blakers-Massey theorems within a homotopy theory of exterior CW-complexes and study their corresponding analogues and consequences in the proper setting.
引用
收藏
页码:75 / 91
页数:17
相关论文
共 50 条