Recursos de colección

RiuNet. Repositorio institucional de la Universitat de Valencia (102.815 recursos)

RiuNet es el Repositorio Institucional de la Universitat Politècnica de València, gestionado por la Biblioteca, cuyo objetivo es ofrecer acceso en Internet a la producción científica, académica y corporativa de la comunidad universitaria con la finalidad de aumentar su visibilidad y hacerla accesible y preservable.

Mostrando recursos 1 - 4 de 4

  1. Which topologies can have immediate successors in the lattice of T1-topologies?

    Alas, Ofelia T.; Wilson, Richard G.
    [EN] We give a new characterization of those topologies which have an immediate successor or cover in the lattice of T1-topologies on a set and show that certain classes of compact and countably compact topologies do not have covers.
    - 10-may-2018

  2. Spaces whose Pseudocompact Subspaces are Closed Subsets

    Dow, Alan; Porter, Jack R.; Stephenson, R.M.; Grant Woods, R.
    [EN] Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”). We study the property FCC and several closely related ones, and focus on the behavior of extension and other spaces which have one or more of these properties. Characterization, embedding and product theorems are obtained, and some examples are given which provide results such as the following. There exists a separable Moore space which has no regular, FCC extension space. There exists a compact Hausdorff Fréchet space which is not FCC. There exists...
    - 10-may-2018

  3. On separation axioms of uniform bundles and sheaves

    Neira, Clara M.; Varela, Januario
    [EN] In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with local sections. In this paper we show that the additional hypothesis of lower semicontinuity of these functions secures that the fiber space of the uniform bundle is Hausdorff, regular or completely regular provided that the base space has the corresponding separation axiom. Similar results for the particular important case of sheaves of sets follow...
    - 10-may-2018

  4. Continuous representability of interval orders

    Candeal, Juan C.; Induráin, Esteban; Zudaire, M.
    [EN] In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order, and its representability through a pair of continuous real-valued functions. Inspired in recent characterizations of the representability of interval orders, we obtain new results concerning the existence of continuous real-valued representations. Classical results are also restated in a unified framework.
    - 10-may-2018

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