Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces

2016-11-212016-11-212002-09Cárdenas Escudero, M.E., Fernández Lasheras, F.J. y Quintero Toscano, A.R. (2002). Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces. Bulletin of the Belgian Mathematical Society Simon Stevin, 9 (3), 419-431.1370-1444http://hdl.handle.net/11441/48899Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of proper maps. By comparing the proper Lusternik-Schnirelmann category of an open manifold X with the smallest number of closed half-spaces needed to cover X, we obtain a proper analogue of Singhof’s theorem on the category of X × S1.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Proper mapLusternik-Schnirelmann categoryOopen manifoldProper collapseMinimal covers of open manifolds with half-spaces and the proper L-S category of product spacesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess