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Tesis Doctoral
Algoritmos de cálculo de homología efectiva de los espacios clasificantes
(1993)
El propósito esencial de esta memoria es el de describir varios algoritmos de cálculo de homología efectiva de los espacios clasificantes y de los espacios de Eilenberg-MacLane. Intentaremos en todo lo que resta de ...
Ponencia
On surfaces in digital topology
(1995)
In R. Ayala, E. Domínguez, A.R. Francés, A. Quintero, J. Rubio. A Polyhedral Approach to Digital Topology a new framework for digital topology has been proposed. This framework offers the possibility of transfering, in an ...
Artículo
On the locally finite chain algebra of a proper homotopy type
(Belgian Mathematical Society, 1996)
In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a simply connected homotopy type. We show that this chain algebra (endowed with an additional structure ...
Artículo
Lusternik-Schnirelmann invariants in proper homotopy theory
(University of California, 1992)
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 ...
Artículo
A note on the homotopical characterization of Rn
(Universitat de Barcelona, 1992)
This note gives conditions which assure that the one-point compactification of an open manifold is a manifold. This result is used to show that the homotopical characterization of Rn (n ≥ 4) can be derived from the Poincaré ...