Results 71 to 80 of about 116 (111)
On pseudocompact topological Brandt λ0-extensions of semitopological monoids
Topological Algebra and its Applications, 2013 Gutik Oleg, Pavlyk Kateryna
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The topological product of two pseudocompact spaces [PDF]
Czechoslovak Mathematical Journal, 1960 openaire +1 more source
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Pseudocompact $$\varDelta $$-spaces are often scattered
Monatshefte für Mathematik, 2021The following definition was given in [\textit{J. Kąkol} and \textit{A. Leiderman}, Proc. Am. Math. Soc., Ser. B 8, 86--99 (2021; Zbl 1473.54018)]: A space \(X\) is a \(\Delta\)-\emph{space} if for any decreasing sequence \(\mathcal{S}=\{X_n:n\in\omega\}\) of subsets of \(X\) with empty intersection, there exists a sequence \(\{U_n:n\in\omega\}\) of ...
A. Leiderman, V. V. Tkachuk
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Quaestiones Mathematicae, 2012
The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant generalisation of pseudocompact spaces on one hand and realcompact spaces on the other. To achieve this we have provided four intrinsic characterisations of hard pseudocompact spaces, which was absent in the literature.
Ghosh, Partha Pratim, Mitra, Biswajit
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The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant generalisation of pseudocompact spaces on one hand and realcompact spaces on the other. To achieve this we have provided four intrinsic characterisations of hard pseudocompact spaces, which was absent in the literature.
Ghosh, Partha Pratim, Mitra, Biswajit
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2018
A well known result established by Hewitt (Trans Amer Math Soc 64:45–99 1948, [16]) states that a space X is pseudocompact if and only if X is \(G_\delta \)-dense in \(\beta X\). In Garcia-Ferreira and Garcia-Maynez (Houston J Math 20(1):145–159, 1994, [12]), S. Garcia-Ferreira and A.
A. Dorantes-Aldama +2 more
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A well known result established by Hewitt (Trans Amer Math Soc 64:45–99 1948, [16]) states that a space X is pseudocompact if and only if X is \(G_\delta \)-dense in \(\beta X\). In Garcia-Ferreira and Garcia-Maynez (Houston J Math 20(1):145–159, 1994, [12]), S. Garcia-Ferreira and A.
A. Dorantes-Aldama +2 more
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Products of Quasi-p-Pseudocompact Spaces
Acta Mathematica Hungarica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanchis, M., Tamariz-Mascarúa, A.
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2018
If \(\mathcal {P}\) is a topological property and \(\mathcal C\) is a class of topologies, then a space X is said to be maximal \(\mathcal {P}\) in the class \(\mathcal C\) if X has \(\mathcal {P}\) but no strictly stronger topology on X which belongs to the class \(\mathcal C\) has \(\mathcal {P}\).
M. Madriz-Mendoza +2 more
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If \(\mathcal {P}\) is a topological property and \(\mathcal C\) is a class of topologies, then a space X is said to be maximal \(\mathcal {P}\) in the class \(\mathcal C\) if X has \(\mathcal {P}\) but no strictly stronger topology on X which belongs to the class \(\mathcal C\) has \(\mathcal {P}\).
M. Madriz-Mendoza +2 more
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Non-trivial non weakly pseudocompact spaces
Topology and its Applications, 2018In the paper under review and below all topological spaces are assumed to be Tychonoff. A topological space $X$ is said to be \textit{weakly pseudocompact} [\textit{S. García-Ferreira} and \textit{A. García-Máynez}, Houston J. Math. 20, No 1, 145--159 (1994; Zbl 0809.54012)] if $X$ is $G_ \delta $-dense in some compactification $Y$ of $X$, namely ...
Hernández-Hernández, F. +2 more
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Bases of Pseudocompact Bishop Spaces
2023After providing an introduction to the basic theory of Bishop spaces, we define the notion of a base for a Bishop topology and we prove the first and the second base theorem for pseudo compact Bishop spaces.
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