2016-07-212016-07-211992Ayala Gómez, R., Domínguez Murillo, E., Márquez Pérez, A. y Quintero Toscano, A.R. (1992). Lusternik-Schnirelmann invariants in proper homotopy theory. Pacific Journal of Mathematics, 153 (2), 201-215.0030-87301945-5844http://hdl.handle.net/11441/43859We introduce and study proper homotopy invariants of the Lusternik-Schnirelmann type, p-cat (-), p-Cat(-), and cat e(-) in the category of Γ2-locally compact spaces and proper maps. As an application, Rn (n Φ 3) is characterized as (i) the unique open manifold X with p-Cat(ΛΓ) = 2, or (ii) the unique open manifold with one strong end and p-cat( c) = 2.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.2140/pjm.1992.153.201