Results 21 to 30 of about 226 (114)
On the Set Version of Selectively Star‐CCC Spaces
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 A space X is said to be set selectively star‐ccc if for each nonempty subset B of X, for each collection U of open sets in X such that B¯⊂∪U, and for each sequence An:n∈ℕ of maximal cellular open families in X, there is a sequence (An : n ∈ ℕ) such that, for each n ∈ ℕ, An∈An and B⊂St∪n∈ℕAn,U. In this paper, we introduce set selectively star‐ccc spaces
Ljubiša D. R. Kočinac +2 more
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A pseudocompact group which is not strongly pseudocompact
Topology and its Applications, 2015 A topological space \(X\) is \textit{strongly pseudocompact} if for every sequence \((U_n)_{n\in\mathbb N}\) of pairwise disjoint non-empty open subsets of \(X\) there exists a sequence \((x_n)_{n\in\mathbb N}\) in \(X\) such that \(x_n\in U_n\) for every \(n\in\mathbb N\) and \(cl_X(\{x_n : n \in\mathbb N\})\setminus\left( \bigcup_{n\in\mathbb N}U_n ...
Garcia-Ferreira, S., Tomita, A. H.
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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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A Note on Pseudocompact Groups [PDF]
Proceedings of the American Mathematical Society, 1989 A question of W. W. Comfort and J. van Mill on pseudocompact groups is answered.
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On $\kappa$-pseudocompactess and uniform homeomorphisms of function spaces
, 2022 A Tychonoff space $X$ is called $\kappa$-pseudocompact if for every continuous mapping $f$ of $X$ into $\mathbb{R}^\kappa$ the image $f(X)$ is compact.
Mikołaj Krupski, Krupski, Mikołaj
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On pseudocompactness and continuous mappings
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1962 Hanai, Sitiro, Okuyama, Akihiro
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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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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
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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
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