Results 11 to 20 of about 365 (176)
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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Applied General Topology, 2015 Let FP(X) be the free paratopological group on a topological space X in the sense of Markov. In this paper, we study the group FP(X) on a $P_\alpha$-space $X$ where $\alpha$ is an infinite cardinal and then we prove that the group FP(X) is an Alexandroff
Ali Sayed Elfard
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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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Topological realizations of groups in Alexandroff spaces [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020 We prove that every group can be realized as the homeomorphism group and as the group of (pointed) homotopy classes of (pointed) self-homotopy equivalences of infinitely many non-homotopy-equivalent Alexandroff spaces.
Pedro J. Chocano +2 more
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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 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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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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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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The Topology T* on Alexandroff Spaces [PDF]
, 2017 The generalized closure operator induces a topology . In this paper, we study the topology on lower bounded Alexandroff spaces. We prove that is a submaximal Alexandroff space. We get some new results about the relation between and . Then we prove that a subset in a lower bounded space is closed set if and only if is
Mahdi, Hisham B., Elostath, Lubna
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On Finite and Artinian To-Alexandroff Spaces [PDF]
, 2009 In this thesis, we study Alexandroff spaces which are topological spaces in which arbitrary intersection of open sets is open. We study, among other things, the two papers titled "On finite To- topological spaces" by A. E. El-Atik et al. [4] and "On To- Alexandroff spaces" by H. B. Mahdi et al. [12]. We compare the study of the two papers and study the
Said, Nader Fathi
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