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

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2010年 / 149卷

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

页码：75 / 91

页数：17

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