Results 51 to 60 of about 116 (111)
Approximation of continuous functions on pseudocompact spaces [PDF]
Proceedings of the American Mathematical Society, 1981 If S * is the family of subrings of C*(X) such that if S E S *, S contains the constant functions and is closed under uniform convergence, then the following are equivalent for a space (X, 5). (a) (X, 5) is pseudocompact. (b) If S E S * functionally separates points and zero sets, S generates (X, 5). (c) If S E S * functionally separates zero sets, S =
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The group of characters of a pseudocompact locally compact semitopological semigroup
Applied General TopologyWe prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
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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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A note on pseudocompact spaces [PDF]
Journal of the Australian Mathematical Society, 1979 AbstractIn this note we give several new characterizations of arbitrary pseudocompact spaces, that is spaces characterized by the property that all continuous real-valued functions on the space are bounded.
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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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A connected pseudocompact space
Topology and its Applications, 1994 In this article a space \(X\) is called pseudocompact if every discrete collection of open subsets of \(X\) is finite. Recall that a set \(A\) is said to be conditionally compact or relatively countably compact in a space \(X\) if every infinite subset of \(A\) has a limit point in \(X\). At the 1990 Summer Conference in General Topology at Long Island
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Embeddings into pseudocompact spaces of countable tightness
Topology and its Applications, 2004 Under the existence of scales of cardinality \(\omega_1\) which is implied by CH, the following important result is proved. Let \({\mathfrak F}\) be a free filter on \(\omega\). We assume that \({\mathfrak F}\) has a base which is well ordered by \(\subset^*\) of type \(\omega_1\).
BELLA, Angelo, PAVLOV O. I.
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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
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Two more characterisations of nearly pseudocompact space
, 2022 In this paper we have obtained two more characterizations of nearly pseudocompact spaces.
Mitra, Biswajit, Das, Sanjib
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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 ( X ) C(X) . These characterizations are then used to prove the (well-known) theorem that β X \beta X is locally ...
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