Results 31 to 40 of about 560 (152)
Closed subsets of compact-like topological spaces
Applied General Topology, 2020 We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
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Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [PDF]
Categories and General Algebraic Structures with ApplicationsThis paper is the second in the series celebrating the mathematical works of Professor Themba Dube. In this sequel, we give prominence to Dube's pivotal contributions on pointfree convergence at the unstructured frame level, in the category of locales ...
Inderasan Naidoo
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Intermediate rings of complex-valued continuous functions
Applied General Topology, 2021 For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection of all the rings that lie between C ...
Amrita Acharyya +3 more
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A note on bf-spaces and on the distribution of the functor of the Dieudonné completion
Topological Algebra and its Applications, 2021 A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf-continuous if its restriction to each bounded subset of X has a continuous ...
Sanchis Manuel, Valero Óscar
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On weaker forms of compactness Lindelöfness and countable compactness
International Journal of Mathematics and Mathematical Sciences, 1990 A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed.
D. Baboolal, J. Backhouse, R. G. Ori
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult. The best results in the literature are that if L(X) can be embedded as a topological vector subspace of L(I), where I=[0 ...
Saak S. Gabriyelyan +2 more
wiley +1 more source
Periodic Solutions and S‐Asymptotically Periodic Solutions to Fractional Evolution Equations
Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 This paper deals with the existence and uniqueness of periodic solutions, S‐asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl‐Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions.
Jia Mu, Yong Zhou, Li Peng, Can Li
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Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets
Mathematics, 2023 In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff space X into the fuzzy sets of Rn, (FUSCB(Rn),Hend), which are upper semi-continuous and have bounded support endowed with the ...
Juan J. Font +2 more
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Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2010, Issue 1, 2010., 2010 We study (countably) compact and (absolutely) H‐closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.
Tetyana Berezovski +3 more
wiley +1 more source
Ascoli’s theorem for pseudocompact spaces [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020 A Tychonoff space $X$ is called ({\em sequentially}) {\em Ascoli} if every compact subset (resp. convergent sequence) of $C_k(X)$ is equicontinuous, where $C_k(X)$ denotes the space of all real-valued continuous functions on $X$ endowed with the compact-open topology. The classical Ascoli theorem states that each compact space is Ascoli. We show that a
openaire +3 more sources