Article
Lusternik-Schnirelmann invariants in proper homotopy theory
Author/s | Ayala Gómez, Rafael
![]() ![]() ![]() ![]() ![]() Domínguez Murillo, Eladio Márquez Pérez, Alberto ![]() ![]() ![]() ![]() ![]() ![]() ![]() Quintero Toscano, Antonio Rafael ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Date | 1992 |
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Abstract | We 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 ... We 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. |
Citation | Ayala 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. |
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