Results 11 to 20 of about 383 (157)
Alexandroff duplicate and βκ [PDF]
Applied General Topology, 2022 We discuss spaces and the Alexandroff duplicates of those spaces that admit a Č-S embedding into the Čech-Stone compactification of a discrete space.
Andrzej A Szymanski
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The Alexandroff Duplicate and its subspaces [PDF]
Applied General Topology, 2007 We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate.
Agata Caserta, Stephen Watson
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Uniformizable functional Alexandroff spaces
, 2023 In the following text we show that the Alexandroff space $X$ is uniformizable if and only if the collection of all smallest neighbourhoods is a partition of $X$. Moreover the Alexandroff space $X$ is uniformizable and functional Alexandroff ($k-$primal) if and only if the collection of all smallest neighbourhoods is a partition of $X$ into its finite ...
Ayatollah Zadeh Shirazi, Fatemah +3 more
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On the triviality of flows in Alexandroff spaces [PDF]
, 2022 We prove that the unique possible flow in an Alexandroff T0-space is the trivial one. On the way of motivation, we relate Alexandroff spaces with topological hyperspaces.
Chocano Feito, Pedro José +2 more
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The Alexandroff property and the preservation of strong uniform continuity [PDF]
Applied General Topology, 2010 In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
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On Some Properties of Whyburn Spaces. [PDF]
Comput Intell Neurosci, 2022 Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022.
Mhemdi A, Lazaar S, Dourari K.
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Statistical Convergence in Function Spaces [PDF]
Abstract and Applied Analysis, 2011 We study statistical versions of several classical kinds of convergence of sequences of functions between metric spaces (Dini, Arzelà, and Alexandroff) in different function spaces.
Agata Caserta +2 more
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On some non-Archimedean spaces of Alexandroff and Urysohn
Topology and its Applications, 1999 In [Math. Ann. 98, 89-106 (1927; JFM 53.0559.01)] Alexandroff and Urysohn provided characterizations of the spaces \({}^\omega\omega\) (the irrationals), its subspace \(\bigcup_{n\in\omega}^\omega n\) and the complement of a point in the Cantor set -- these characterizations were in the spirit of \textit{L. E. J.
Nyikos, Peter J.
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Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic
Results in Control and OptimizationIn this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide ...
A. Divya, K. Ramya, D. Sasikala
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The Centre of the Spaces of Banach Lattice-Valued Continuous Functions on the Generalized Alexandroff Duplicate [PDF]
Abstract and Applied Analysis, 2011 We characterize the centre of the Banach lattice of Banach lattice 𝐸-valued continuous functions on the Alexandroff duplicate of a compact Hausdorff space 𝐾 in terms of the centre of 𝐶(𝐾,𝐸), the space of 𝐸-valued continuous functions on 𝐾.
Faruk Polat
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