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Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco | Editorial Complutense | 1994This interesting and well-written survey article is devoted to the class P of topological spaces in which components and quasi-components coincide. This class includes the compact Hausdorff spaces and the locally connected spaces. It also inclu[...]texto impreso
Cuchillo Ibáñez, Eduardo ; Dydak, J. ; Koyama, A. ; Morón, Manuel A. | American Mathematical Society | 2008-10-10Motivated by the Chapman Complement Theorem, we construct an isomorphism between the topological category of compact Z-sets in the Hilbert cube Q and the C0-coarse category of their complements. The C0-coarse morphisms are, in this particular ca[...]texto impreso
In this paper we characterize the finite dimensionality of a compact Z-set in the Hilbert cube in terms of the existence of a particular canonical cover in its complement.texto impreso
Blasco Contreras, Fernando ; Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero López, Carlos | Pergamon-Elsevier Science Ltd | 2000-07In this note, we describe the compromise set for a special polyhedral convex feasible set. This procedure gives the monotonicity of the compromise set. This scenario appears in some engineering and economic applications like the determination of[...]texto impreso
We use upper semifinite hyperspaces of compacta to describe "-connectedness and to compute homology from finite approximations. We find another connection between "- connectedness and the so called Shape Theory. We construct a geodesically compl[...]texto impreso
En este artículo relacionamos dos problemas abiertos en Homotopía y Teoría de la Forma planteados por Borsuk. Demostramos que la respuesta a, al menos,uno de ellos es negativa, y obtenemos algunas consecuencias.texto impreso
Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco | Auburn University | 1992In this paper we use the lower semifinite topology in hyperspaces to obtain examples in topology such as pseudocompact spaces not countably compact, separable spaces not Lindelöf and in a natural way many spaces appear which are T0 but not T1. W[...]texto impreso
Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco | Akadémiai Kiadó | 1999Given a Tychonov space X we can construct another space Y with the same group of homeomorphisms such that X and Y are: in some sense, "almost arbitrarily different".texto impreso
Blasco Contreras, Fernando ; Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero López, Carlos | Kluwer Academic/Plenum Publ | 1999-07This paper discusses the extension of results on monotonicity of the compromise set valid for bicriteria problems to general multicriteria problems under a very general condition, which is assumable in compromise programming problems coming from[...]texto impreso
Cuchillo Ibáñez, Eduardo ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco ; Rodríguez Sanjurjo, José Manuel | Elsevier Science | 1999-06-09We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y, Sh(X, Y). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are gi[...]texto impreso
In this paper we construct many generalizad ultrametrics in the sets of shape morphisms between topological spaes. We recognize a topology in these sets which is independen on the shape representation of the spaces. We construct valuations an se[...]
