Results 91 to 100 of about 226 (114)
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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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Proper Pseudocompact Subgroups of Pseudocompact Abelian Groups
Annals of the New York Academy of Sciences, 1994ABSTRACT: We prove among other things that if G is a pseudocompact Abelian topological group such that |G| > c or ω1≤w(G)≤ c then G has a proper dense pseudocompact subgroup.
W. W. COMFORT +2 more
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Some properties of relatively strong pseudocompactness [PDF]
Czechoslovak Mathematical Journal, 2008 summary:In this paper, we study some properties of relatively strong pseudocompactness and mainly show that if a Tychonoff space $X$ and a subspace $Y$ satisfy that $Y\subset \overline {{\rm Int} Y}$ and $Y$ is strongly pseudocompact and metacompact ...
Zhang, Guo-Fang
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Some cardinal generalizations of pseudocompactness [PDF]
Czechoslovak Mathematical Journal, 1993 Retta, Teklehaimanot
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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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Mathematica Slovaca, 2015
Abstract The cozero part of a sigma-frame is considered here for the first time. The fundamental notion of a trail in a frame is adapted for sigma-frames via the notion of a witness and, as a consequence, one obtains characterisations for the cozero elements, and of pseudocompactness, of sigma-frames.
Jumani Clarke, Christopher Gilmour
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Abstract The cozero part of a sigma-frame is considered here for the first time. The fundamental notion of a trail in a frame is adapted for sigma-frames via the notion of a witness and, as a consequence, one obtains characterisations for the cozero elements, and of pseudocompactness, of sigma-frames.
Jumani Clarke, Christopher Gilmour
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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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Siberian Mathematical Journal, 2001
We consider the problem of extending the notion of τ-pseudocompactness from spaces to continuous mappings, obtain conditions under which the product of τ-pseudocompact mappings is τ-pseudocompact. Since any space X can be considered as a continuous mapping from X into a singleton, we obtain consequences of the theorems on multiplicativity of τ ...
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We consider the problem of extending the notion of τ-pseudocompactness from spaces to continuous mappings, obtain conditions under which the product of τ-pseudocompact mappings is τ-pseudocompact. Since any space X can be considered as a continuous mapping from X into a singleton, we obtain consequences of the theorems on multiplicativity of τ ...
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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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Pseudocompact Topological Groups
2018Topological groups constitute a very special subclass of topological spaces. Every topological group satisfying the \(T_0\) separation axiom is automatically Tychonoff, which means that in the class of topological groups, the axioms of separation \(T_0\), \(T_1\), \(T_2\), \(T_3\) and \(T_{3.5}\) are all equivalent.
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