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Regular Compactifications of Convergence Spaces [PDF]

Proceedings of the American Mathematical Society, 1972
This note gives a simple characterization for the class of convergence spaces for which regular compactifications exist and shows that each such convergence space has a largest regular compactification.
D C Kent, G D Richardson
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Sequential Convergence of Regular Measures on Prehilbert Space Logics [PDF]

Journal of Mathematical Analysis and Applications, 2006
Let \(S\) be a pre-Hilbert space and \(E(S)\) be the orthomodular poset of all splitting subspaces of \(S\), i.e., \(E(S)=\{M\subseteq S: M\oplus M^\perp= S\}\). The authors first extend Gleason's theorem to regular bounded charges on \(E(S)\). (``Regular'' means: inner regular with respect to finite-dimensional subspaces.) Then they study a Nikodým ...
E Chetcuti
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P-Regularity and p-Regular Modification in ⊤-Convergence Spaces [PDF]

Mathematics, 2019
Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p-regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition, lower and upper p-regular modifications in ⊤-convergence spaces are further investigated and ...
Qiu Jin, Lingqiang Li, Guangming Lang
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Regular Convergence Spaces [PDF]

Korean Journal of Mathematics, 2013
Summary: In this paper, I introduce the notion of regular convergence space and give some properties of this space. And I give some conditions for the regularity of continuous convergence structure.
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Regular Convergence Spaces

Mathematische Annalen, 1967
FISCHER, H.R., COOK, C.H.
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T-Regular Probabilistic Convergence Spaces

Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics, 1998
A probabilistic convergence structure assigns a probability that a given filter converges to a given element of the space. The role of the t-norm (triangle norm) in the study of regularity of probabilistic convergence spaces is investigated.
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Regular Convergence Spaces

Proceedings of the Koninklijke Nederlandse Akademie Van Wetenschappen Series A, Indagationes Mathematicae, 1966
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Regularity in fuzzy convergence spaces

Fuzzy Sets and Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minkler, J., Minkler, G., Richardson, G.
openaire   +3 more sources

Regularity and Sequential Convergence Spaces

Annals of the New York Academy of Sciences, 1993
ABSTRACT. Regularity for sequential convergence spaces is defined, and two reasons for believing that it is the right definition are given. In the first place, the definition is equivalent to an “extension of maps” property that characterizes regularity in a variety of topological categories.
D C Kent
exaly   +2 more sources