Results 1 to 10 of about 199 (191)
∗-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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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 for Saturated $\mathsf{L}$-Quasi-Uniform Limit Spaces [PDF]
Transactions on Fuzzy Sets and Systems, 2023 We define and study two completeness notions for saturated $\mathsf{L}$-quasi-uniform limit spaces. The one, that we term Lawvere completeness, is defined using the concept of promodule and lends a lax algebraic interpretation of completeness also
Gunther Jäger
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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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Stratified (L,M)-fuzzy quasi-uniform spaces
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Preservation of completeness under mappings in asymmetric topology
Applied General Topology, 2000 The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting under open, closed and uniformly open mappings is investigated.
Hans-Peter A. Künzi
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Infinite games and quasi-uniform box products
Applied General Topology, 2019 We introduce new infinite games, played in a quasi-uniform space, that generalise the proximal game to the framework of quasi-uniform spaces. We then introduce bi-proximal spaces, a concept that generalises proximal spaces to the quasi-uniform setting ...
Hope Sabao, Olivier Olela Otafudu
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Stability of a weighted L2 projection in a weighted Sobolev norm
Comptes Rendus. Mathématique, 2023 We prove the stability of a weighted $L^2$ projection operator onto piecewise linear finite elements spaces in a weighted Sobolev norm. Namely, we consider the orthogonal projections $\pi _{N,\omega }$ from $L^2(\mathbb{D},1/\omega (x)\mathrm{d}x)$ to ...
Averseng, Martin
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