Results 1 to 10 of about 179 (112)
∗-half completeness in quasi-uniform spaces
Applied General Topology, 2009 Romaguera and Sánchez-Granero (2003) have introduced the notion of T1∗-half completion and used it to see when a quasi-uniform space has a ∗-compactification. In this paper, for any quasi-uniform space, we construct a ∗-half completion, called standard ∗-
Athanasios Andrikopoulos
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Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem
Mathematics, 2022 We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
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The scale of a quasi-uniform space [PDF]
Acta Mathematica Hungarica, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olivier Olela Otafudu
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Completeness in quasi-uniform spaces
Acta Mathematica Hungarica, 2004 The author defines and studies another kind of completeness for quasi-uniform spaces, based on Cauchy-pairs of nets. He constructs an accompanying completion and compares his definition with other notions of completeness and completions.
Athanasios Andrikopoulos
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Completeness in Quasi-Pseudometric Spaces—A Survey
Mathematics, 2020 The aim of this paper is to discuss the relations between various notions of sequential completeness and the corresponding notions of completeness by nets or by filters in the setting of quasi-metric spaces.
Ştefan Cobzas
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Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion
Applied General Topology, 2023 Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces.
Gunther Jäger
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Weak completeness of the Bourbaki quasi-uniformity
Applied General Topology, 2001 The concept of semicompleteness (weaker than half-completeness) is defined for the Bourbaki quasi-uniformity of the hyperspace of a quasi-uniform space.
M.A. Sánchez Granero
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Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
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Quasi-uniform convergence topologies on function spaces- Revisited
Applied General Topology, 2017 Let X and Y be topological space and F(X,Y) the set of all functions from X into Y. We study various quasi-uniform convergence topologies U_{A} (A⊆P(X)) on F(X,Y) and their comparison in the setting of Y a quasi-uniform space.
Wafa Khalaf Alqurash, Liaqat Ali Khan
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Applied General Topology, 2017 We revisit the computation of entourage sections of the constant uniformity of the product of countably many copies the Alexandroff one-point compactification called the Fort space. Furthermore, we define the concept of a quasi-uniformity on a product of
Olivier Olela Otafudu, Hope Sabao
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