Results 11 to 20 of about 433 (82)
p-topological and p-regular: dual notions in convergence theory
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 1-12, 1999., 1999 The natural duality between "topological" and "regular," both considered as convergence space properties, extends naturally to p-regular convergence spaces, resulting in the new concept of a p-topological convergence space.
Kent, D. C., Wilde, Scott A.
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Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we continue studying the properties of weak soft axioms discussed and studied in [8]. We initiate and explore soft semi-R0 spaces at soft point in terms of soft semi-open sets and study its characterizations and properties.
Hussain Sabir
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Selection principles and games in bitopological function spaces [PDF]
, 2019 For a Tychonoff space $X$, we denote by $(C(X), \tau_k, \tau_p)$ the bitopological space of all real-valued continuous functions on $X$ where $\tau_k$ is the compact-open topology and $\tau_p$ is the topology of pointwise convergence. In papers [5, 6, 13]
Lyakhovets, Daniil, Osipov, Alexander V.
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Fuzzy properties in fuzzy convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 737-748, 2002., 2002 Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity.
Gunther Jäger
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γ‐sets and γ‐continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 177-181, 2002., 2002 We introduce a new class of sets, called γ‐sets, and the notion of γ‐continuity and investigate some properties and characterizations. In particular, γ‐sets and γ‐continuity are used to extend known results for semi‐open sets and semi‐continuity.
Won Keun Min
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A pexider difference for a pexider functional equation
Advances in Differential Equations, 2012 We deal with a Pexider difference f(2x+y)+f(2x-y)-g(x+y)-g(x-y)-2g(2x)+2g(x) where f and g map be a given abelian group (G, +) into a sequentially complete Hausdorff topological vector space.
A. Najati +3 more
semanticscholar +2 more sources
A metrizable semitopological semilattice with non-closed partial order
Topological Algebra and its Applications, 2020 We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras +2 more
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Regular‐uniform convergence and the open‐open topology
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 357-360, 2001., 2001 In 1994, Bânzaru introduced the concept of regular‐uniform, or r‐uniform, convergence on a family of functions. We discuss the relationship between this topology and the open‐open topology, which was described in 1993 by Porter, on various collections of functions.
Kathryn F. Porter
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ON FUNCTIONS WITH STRONGLY CLOSED GRAPH
, 2016 The primary purpose of this paper is to study functions with strongly closed graph and consequently a characterization of such functions in terms of r-convergence of nets is obtained.
A. Gupta, K. Kishore
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An Ascoli theorem for sequential spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 5, Page 303-315, 2001., 2001 Ascoli theorems characterize “precompact” subsets of the set of morphisms between two objects of a category in terms of “equicontinuity” and “pointwise precompactness,” with appropriate definitions of precompactness and equicontinuity in the studied category.
Gert Sonck
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