Results 31 to 40 of about 61 (61)
Completion of probabilistic uniform limit spaces
, 2004 In this article completions of special probabilistic semiuniform convergence spaces are considered. It turns out that every probabilitic Cauchy space under a given t-norm T (triangular norm) has a completion which, in the special case of probabilistic ...
Nusser, Harald
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Spread Uniformities and Uniform Spreads
, 2004 We discuss a point free analog of the topological fact that every uniformly continuous function on a dense subspace of a uniform space into a complete uniform space has a unique continuous extension. It is shown that a uniform frame homomorphism h:
Siweya, Hlengani J
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Smyth Completion as Bicompletion
, 1997 We define a functor from topological quasi-uniform spaces and continuous, uniformly continuous maps to quasi-uniform spaces and uniformly continuous maps. This functor retains the same underlying Supported by the Deutsche Forschungsgemeinschaft.
Bob Flagg +2 more
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On characterizing the pointfree function ring reflection in terms of uniformities
, 2017 Given that the ℓ-rings RL of real-valued continuous functions on completely regular frames L are monore ective in the category of all archimedean f-rings with unit, one can ask how a sub-ℓ-ring A with unit of some RL has to be related to L to make RL the
Banaschewski, B.
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Strong versus uniform continuity: A constructive round
, 2004 The notion of apartness has recently shown promise as a means of lifting constructive topology from the restrictive context of metric spaces to more general settings.
Vîtă, Luminita +2 more
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, 1997 . Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
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Completion Of Semiuniform Convergence Spaces
, 1997 . Semiuniform convergence spaces form a common generalization of filter spaces (including symmetric convergence spaces [and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many ...
Gerhard Preuß
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The Dual space of an asymmetric normed linear space
, 2004 Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In particular, we show that (x*, q*) is a biBanach semilinear space and prove that (X, q) can be identified as a subspace of its bidual by an isometric ...
Sanchez-Perez, E.A. +2 more
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Almost 2-Fully Normal, Pairwise Paracompact and Complete Developable Bispaces
, 2004 We introduce and study the notion of an almost 2-fully normal bispace. In particular; we prove that a bispace is quasi-pseudometrizable if and only if it is almost 2-fully normal and pairwise developable.
Romaguera, Salvador
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On unitary Cauchy filters on topological monoids
Topological Algebra and its Applications, 2013 Averbukh Boris G.
doaj +1 more source