Article
Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces
Author/s | Cárdenas Escudero, Manuel Enrique
![]() ![]() ![]() ![]() ![]() ![]() ![]() Fernández Lasheras, Francisco Jesús ![]() ![]() ![]() ![]() ![]() ![]() Quintero Toscano, Antonio Rafael ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2002-09 |
Deposit Date | 2016-11-21 |
Published in |
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Abstract | Classical 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 ... Classical 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. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España |
Project ID. | BFM2001-3195-C02-01
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Citation | Cárdenas 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. |
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