Articles by Author: Jorge Picado

Search results for Jorge Picado

We found 10 results for you
  1. Ideals in Heyting Semilattices and Open Homomorphisms

    Ideals in Heyting Semilattices and Open Homomorphisms

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Subfitness and its relation to openness and completeness is studied in the context of Heyting semilattices. A formally weaker condition (c-subfitness) is shown to be necessary and sufficient for openness and completeness to coincide. For a large class of spatial...
  2. The Galois Approach to Uniform Structures

    The Galois Approach to Uniform Structures

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Entourages in uniform spaces, being binary relations, may be easily described by polarities (i.e. Galois connections between power sets) and axialities (i.e. residuated pairs between power sets). Here we consider this in the pointfree context of the category of frames,...
  3. The semicontinuous quasi-uniformity of a frame, revisited

    The semicontinuous quasi-uniformity of a frame, revisited

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Gutiérrez García, T. Kubiak...
  4. A unified view of the Dedekind completion of pointfree function rings

    A unified view of the Dedekind completion of pointfree function rings

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    We provide the appropriate unifying framework for the various descriptions of the Dedekind completion of the ring C(L) of continuous real functions on a frame L. It is based on suitable Galois connections and a general result about Galois connections,...
  5. Perfectness in locales

    Perfectness in locales

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    This paper makes a comparison between two notions of perfectness for locales which come as direct reformulations of the two equivalent topological definitions of perfectness. These reformulations are no longer equivalent. It will be documented that a locale may appropriately...
  6. A Boolean extension of a frame and a representation of discontinuity

    A Boolean extension of a frame and a representation of discontinuity

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    Point-free modeling of mappings that are not necessarily continuous has been so far based on the extension of a frame to its frame of sublocales, mimicking the replacement of a topological space by its discretization. This otherwise successful procedure has,...
  7. On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.

    On the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup.

    Item type: Journal Article • Journal: Quaestiones Mathematicae
    In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials {H μ n } and prove that it is weak type (1,1) with respect to dλ...
  8. Efficiency of Mexico's regional innovation systems: an evaluation applying data envelopment analysis (DEA)

    Efficiency of Mexico's regional innovation systems: an evaluation applying data envelopment analysis (DEA)

    The aim of this study is to measure the relative technical efficiency of Mexico´s regional innovation systems, as defined by its 32 states. Furthermore, there is an interest to establish the relationship between the amount of resources for each regional...