Results 81 to 90 of about 116 (102)
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Developments in Mathematics, 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 Tamariz-Mascarúa
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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 Tamariz-Mascarúa
exaly +2 more sources
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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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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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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On pseudocompact and perfectly normal spaces
Acta Mathematica Academiae Scientiarum Hungaricae, 1974It is shown in this paper that a pseudocompact space is perfectly normal if and only if every closed subset of that space has a countable local base. It follows that, for topological spaces such that each Closed subset has a countable local base, the notions of pseudo-compacity and countable compacity are equivalent.
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Closed imbeddings in pseudocompact spaces
Mathematical Notes of the Academy of Sciences of the USSR, 1987\textit{N. Noble} [Czech. Math. J. 19(94), 390-397 (1969; Zbl 0184.477)] has shown that every completely regular space X can be embedded as a closed subspace into some pseudo-compact space \(\bar X.\) The present author gives constructions of the space \(\bar X\) such that \(\bar X\) preserves various properties of X.
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Resolvability of Pseudocompact Spaces at a Point
2020A topological space X is called resolvable at a point \(x_0\) if \(X\setminus \{x_0\}\) contains two disjoint subsets A, B such that \(x_0\in \overline{A}, x_0\in \overline{B}\). In this paper we prove that if a regular topological space X is irresolvable at some non-isolated point \(x_0 \in X\), then X contains an infinite discrete in X family ...
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1990
In this paper we study the spaces for which the topology generated by the A-closure is pseudocompact.
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In this paper we study the spaces for which the topology generated by the A-closure is pseudocompact.
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