منابع مشابه
Sobriety and Localic Compactness in Categories of L-Bitopological Spaces
The notions of L-sobriety and L-spatiality are introduced for the category L-BiTop of Lbitopological spaces. Such notions are used to extend the known adjunction between the category L-Top of L-topological spaces and the category Loc of locals to one between the category L-BiTop and BiLoc. Also, the concepts of localic regularity and localic compactness are introduced in the mentioned category.
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A standard example of an impredicative definition is that of the way-below relation [11], and thus of local compactness in (point-free) topology [6]. Local compactness can be dealt with predicatively as in [8], [5]; the particularly convenient re-formulation to be presented is based on a recent result by Peter Aczel [2], and on the observation that, in set-presented topologies, the way-below re...
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This paper studies the stability properties of the concepts of local compactness introduced by the authors in 1998. We show that all of these concepts are stable for contractive, expansive images and for products. 1. Introduction. Having introduced notions of local compactness, basis local compactness and related measures, and having studied the basic relationship among these concepts in [3], i...
متن کاملBitopological Representations
A class B of bitopological structures is a bitopological representation of a class C of continuous mappings of topological spaces if C coinsides with the class of all bicontinuous mappings f : (X;) ?! (X 0 ; 0) for all ; 0 2 B. The paper contains a short survey of old author's results and some new results on bitopological representations of classes of metric space mappings.
متن کاملLocal Compactness in L-Fuzzy Spaces
In an L-topological space we present good definitions for local compactness, weak local compactness and relative local compactness. We obtain the equivalence of these properties in a Hausdorff space and we also obtain a one point compactification theorem.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae (Proceedings)
سال: 1972
ISSN: 1385-7258
DOI: 10.1016/1385-7258(72)90037-6