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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
This paper describes an application of Rota and collaborator's ideas, about the foundation on combinatorial theory, to the computing of solutions of some linear functional partial differential equations. We give a dynamical interpretation of the[...]texto impreso
It is well-known that quasi-isometrics between R-trees induce power quasi-symmetric homeomorphisms between their ultrametric end spaces. This paper investigates power quasi-symmetric homeomorphisms between bounded, complete, uniformly perfect, u[...]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
The authors deal with the question of whether the sets of shape and homotopy types of FANRs are countable. FANRs can be considered as a natural generalization of ANRs; thus the authors' starting point consists of results on the countability of t[...]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
Giraldo, A. ; Morón, Manuel A. ; Romero Ruiz del Portal, Francisco ; Rodríguez Sanjurjo, José Manuel | Elsevier Science B.V. (North-Holland) | 2001-09-07We show in this paper how to represent intrinsically Cech homology of compacta, in terms of inverse limits of discrete approximations. We establish some relations between inverse limits and non-continuous homotopies and, as a consequence, we get[...]texto impreso
Fernández Laguna, Víctor ; Morón, Manuel A. ; Rodríguez Sanjurjo, José Manuel | Elsevier Science | 1991-07-31In this paper we study certain shape and homotopy properties of refinable and weakly refinable maps. In particular we give a sufficient condition for a weakly refinable map to be a homotopy domination when the codomain is an ANR. We also charact[...]texto impreso
The purpose of this paper is to seek utility functions satisfying a weak condition which guarantees that the utility optimum always belongs to the compromise set. This set is a special subset of the attainable or feasible set, which is generated[...]texto impreso
In this paper we study homotopical properties of a special neighborhood system, which is denoted by {U?} > 0, for the canonical embedding of a compact metric space in its upper semifinite hyperspace to get results in the shape theory for compact[...]texto impreso
Historically, there exist two versions of the Riordan array concept. The older one (better known as recursive matrix) consists of bi-infinite matrices (d(n,k)) (n,k is an element of Z) (k > n implies d(n,k) = 0), deals with formal Laurent serie[...]texto impreso
In this paper we prove that if we consider the standard real metric on simplicial rooted trees then the category Tower-Set of inverse sequences can be described by means of the bounded coarse geometry of the naturally associated trees. Using thi[...]
