ON THE GANEA STRONG CATEGORY IN PROPER HOMOTOPY

Citation
R. Ayala et A. Quintero, ON THE GANEA STRONG CATEGORY IN PROPER HOMOTOPY, Proceedings of the Edinburgh Mathematical Society, 41, 1998, pp. 247-263
Citations number
26
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00130915
Volume
41
Year of publication
1998
Part
2
Pages
247 - 263
Database
ISI
SICI code
0013-0915(1998)41:<247:OTGSCI>2.0.ZU;2-Y
Abstract
This paper contains some basic relations between Ganea strong category and Lusternik Schnirelmann category in proper homotopy theory. We foc us our interest on the case of category 2 in order to show that R '' i s the unique open n-manifold with proper Lusternik-Schnirelmann catego ry 2 (n not equal 3).