Results 11 to 20 of about 48 (48)
Countable Compactifications and a Generalized Hahn-Mazurkiewicz Type Theorem [PDF]
, 1996 In this paper, we provide a characterization as to when a locally connected generalized continuum (a locally compact connected separable metric space) has a countable compactification of a certain order type.
Franklin Mendivil, Mendivil, Franklin
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Hewitt's irresolvability and induced sublocales in spatial frames
, 2021 Sublocales of frames, even those representing subspaces (induced sublocales), are typically not complemented in the lattice of all sublocales. We present a necessary and sufficient condition for an induced sublocale to be so, and prove that all induced ...
Picado, Jorge +3 more
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Weak Compatibility and Common Fixed Point Theorems for A-Contractive and E-expansive Maps in Uniform Spaces [PDF]
, 2005 2000 Mathematics Subject Classification: 47H10, 54E15.The purpose of this paper is to define the notion of A-distance and E-distance in uniform spaces and give several new common fixed point results for weakly compatible contractive or expansive ...
El Moutawakil, D., Aamri, M.
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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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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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, 2005 We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters.
Dube, Themba
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A short note on nearly perfect maps of locales
, 2017 We characterise compact locales in terms of nearly perfect maps. We show in particular that these maps are the natural pointfree version of Bourbaki's proper maps - when defined via any ultrafillter - and that they extend Herrlich's notion of nearly ...
Razafindrakoto, Ando
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, 2004 We introduce the notion of uniform paracompactness to uniform frames and give several characterisations thereof. In another context, we show that the locally fine reflector commutes with the completion in the category of strong nearness frames ...
Dube, Themba
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On the Metrization Lemma for Uniform Spaces
, 2001 We show a numeric generalization of the well-known metrization lemma for uniform spaces, thereby answering a question left open in [2] to the affirmative.
Windels, B
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On the Strict Completion of a Nearness Space
, 2004 The strict completion of a nearness space was constructed in 1974 in Herrlich's original paper on nearness. we present an external characterization of this completion. Among the consequences of this result is the fact that for nearness spaces X and
Bentley, HL, Herrlich, H
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