Results 1 to 10 of about 116 (105)
Selectively Pseudocompact Groups without Infinite Separable Pseudocompact Subsets [PDF]
Axioms, 2018 We give a “naive” (i.e., using no additional set-theoretic assumptions beyond ZFC, the Zermelo-Fraenkel axioms of set theory augmented by the Axiom of Choice) example of a Boolean topological group G without infinite separable pseudocompact subsets ...
Dmitri Shakhmatov, VÍCTOR Hugo Yanez
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Non-Abelian Pseudocompact Groups [PDF]
Axioms, 2016 Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W W Comfort, Dieter Remus, Comfort W W
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A characterization of pseudocompactness [PDF]
International Journal of Mathematics and Mathematical Sciences, 1981 It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f*ϕ is z-ultrafilter whenever ϕ is a z-ultrafilter on X.
Prabduh Ram Misra, Vinodkumar
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Strongly τ-pseudocompact spaces [PDF]
Topology and Its Applications, 1998 All hypothesized spaces are Tychonoff, and \(\tau\) is an infinite cardinal number. The author introduces the concept of a strongly \(\tau\)-pseudocompact space, studies its relation to initial \(\tau\)-compactness, and extends results of [\textit{J. F. Kennison}, Trans. Am. Math. Soc. 104, 436-442 (1962; Zbl 0111.35004)] and others.
A V Arhangel'Skii
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Pseudocompact groups: progress and problems
Topology and Its Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W W Comfort
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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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A NOTE ON Cc(X) VIA A TOPOLOGICAL RING [PDF]
Journal of Algebraic Systems, 2023 Let $C_c(X)$ (resp., $C_c^*(X)$) denote the functionallycountable subalgebra of $C(X)$ (resp., $C^*(X)$),consisting of all functions (resp., bounded functions) with countable image.$C_c(X)$ (resp., $C_c^*(X)$) as a topological ring via $m_c$-topology ...
R. Mohamadian +3 more
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m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS [PDF]
Journal of Algebraic Systems, 2021 In this article we consider the $m$-topology on \linebreak $M(X,\mathscr{A})$, the ring of all real measurable functions on a measurable space $(X, \mathscr{A})$, and we denote it by $M_m(X,\mathscr{A})$.
H. Yousefpour +3 more
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Maximal pseudocompact spaces and the Preiss-Simon property
Open Mathematics, 2014 Richard K Wilson
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Applied General Topology, 2021 Let C∞ (X) denote the family of real-valued continuous functions which vanish at infinity in the sense that {x ∈ X : |f(x)| ≥ 1/n} is compact in X for all n ∈ N. It is not in general true that C∞ (X) is an ideal of C(X).
Biswajit Mitra, Debojyoti Chowdhury
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