Results 41 to 50 of about 116 (108)
The equivalence of two definitions of sequential pseudocompactness
Applied General Topology, 2016 We show that two possible definitions of sequential pseudocompactness are equivalent, and point out some consequences.
Paolo Lipparini
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Outer measures associated with lattice measures and their application
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 725-734, 1995., 1994 Consider a set X and a lattice ℒ of subsets of X such that ϕ, X ∈ ℒ. M(ℒ) denotes those bounded finitely additive measures on A(ℒ) which are studied, and I(ℒ) denotes those elements of M(ℒ) which are 0 − 1 valued. Associated with a μ ∈ M(ℒ) or a μ ∈ Mσ(ℒ) (the elements of M(ℒ) which are σ‐smooth on ℒ) are outer measures μ′ and μ″.
Charles Traina
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Making group topologies with, and without, convergent sequences
Applied General Topology, 2006 (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite Abelian group G admits a family A of
W.W. Comfort +2 more
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New characterisations of pseudocompact spaces [PDF]
Bulletin of the Australian Mathematical Society, 1988 In this paper, we give a new characterisation of pseudo-compact spaces, namely a space X is pseudocompact if and only if each σ-point finite open cover of X has a finite subfamily whose union is dense. As a corollary, we show that every pseudocompact σ-metacompact (or screenable) space is compact, which sharpens some known results.
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Pointfree pseudocompactness revisited
Topology and its Applications, 2007 The concept of pseudocompactness in the setting of pointfree topology, due to \textit{D. Baboolal} and \textit{B. Banaschewski} [``Compactification and local connectedness of frames'', J. Pure Appl. Algebra 70, No.~1--2, 3--16 (1991; Zbl 0722.54031)], is studied in detail in this paper.
Dube, T, Matutu, Phethiwe P
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Some topologies on the set of lattice regular measures
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 681-695, 1992., 1990 We consider the general setting of A.D. Alexandroff, namely, an arbitrary set X and an arbitrary lattice of subsets of X, ℒ. 𝒜(ℒ) denotes the algebra of subsets of X generated by ℒ and MR(ℒ) the set of all lattice regular, (finitely additive) measures on 𝒜(ℒ).
Panagiotis D. Stratigos
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Iterated starcompact topological spaces
Applied General Topology, 2004 Let P be a topological property. A space X is said to be k-P-starcompact if for every open cover U of X, there is a subspace A C X with P such that stk(A,U) = X.
Junhui Kim
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Selective sequential pseudocompactness
Topology and its Applications, 2017 We say that a topological space X is selectively sequentially pseudocompact (SSP for short) if for every sequence (U_n) of non-empty open subsets of X, one can choose a point x_n in U_n for every n in such a way that the sequence (x_n) has a convergent subsequence.
Dorantes-Aldama, Alejandro +1 more
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Pseudofinite and Pseudocompact Metric Structures [PDF]
Notre Dame Journal of Formal Logic, 2015 Second version. Some typos fixed.
Goldbring, Isaac, Lopes, Vinicius Cifú
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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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