Results 61 to 70 of about 116 (102)
On pseudocompact spaces with a weak selection
Topology and its Applications, 2017 All spaces \(X\) are assumed to be Tychonoff. For a space \(X\), the remainder \(\beta X\setminus X\) is denoted by \(X^*.\) The space \(X\) is called almost compact if \(X^*\) is at most a singleton. The authors study properties of pseudocompact spaces \(X\) with weak (continuous) selections.
Dikranjan, Dikran +3 more
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Topologies between compact and uniform convergence on function spaces
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley +1 more source
G-compactifications of pseudocompact G-spaces
Topology and its Applications, 2008 A \(G\)-space (a topological space \(X\) together with a continuous action \(\alpha:G\times X\to X\) of a topological group \(G\) on \(X\)) is said to be \(G\)-Tychonoff if it admits an equivariant embedding into a compact \(G\)-space. After reviewing earlier related positive and negative results, the author constructs examples of a pseudocompact (even
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Compactification of Spaces of Measures and Pseudocompactness
Doklady MathematicsWe prove pseudocompactness of a Tychonoff space X and the space P(X) of Radon probability measures on it with the weak topology under the condition that the Stone–ech compactification of the space P(X) is homeomorphic to the space P(βX) of Radon probability measures on the Stone–ech compactification of the space X.
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Selectively pseudocompact spaces
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space $X$ is termed {\em selectively pseudocompact} if for any sequence $(U_n:n\in ω)$ of pairwise disjoint non-empty open sets of $X$, one can choose points $x_n\in U_n$ such that the sequence $(x_n:n\in ω)$ has an accumulation point.
Juhász, István +2 more
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Remarks on star covering properties in pseudocompact spaces [PDF]
Mathematica Bohemica, 2013 Given a topological property \(\mathcal {P}\) one says that a space \(X\) is star \(\mathcal {P}\) if for every open cover \(\mathcal {U}\) of \(X\) there is a subspace \(A\) of \(X\) with property \(\mathcal {P}\) such that \(X=\operatorname {St}(A,\mathcal {U})\).
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A note on pseudocompact spaces and 𝑘_{𝑅}-spaces [PDF]
Proceedings of the American Mathematical Society, 1977 Utilizing the Stone-Čech compactification of an uncountable discrete space, we construct a pseudocompact space X which belongs to Frolík’s class
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Local Connectedness and Pseudocompactness in Completely Regular Spaces [PDF]
Proceedings of the American Mathematical Society, 1978 The properties of local connectedness and pseudocompactness of a completely regular space X are characterized via algebraic properties of the space C
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Weak pseudocompactness on spaces of continuous functions
Topology and its Applications, 2015 The authors analyze, in a purely theoretical setting that lies in the framework of General Topology, a variant of compactness named weak pseudocompactness. Namely, a topological space \(X\) is said to be weakly pseudocompact if it is \(G_\delta\)-dense in at least one of its compactifications.
A. Dorantes-Aldama +2 more
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On pseudocompactness of remainders of certain spaces
FilomatLet B be a base for a nowhere locally compact Tychonoff space X and let bX be a compactification of X. Then the following two statements hold: (1) The remainder bX \ X of X is pseudocompact if and only if for any countable infinite subfamily V of B there exists an accumulation point of the family V in bX \ X.
Liang-Xue Peng, Xing-Yu Hu
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