Results 11 to 20 of about 471,877 (274)
Lattice-valued convergence spaces and regularity [PDF]
Fuzzy Sets and Systems, 2008 We define a regularity axiom for lattice-valued convergence spaces where the lattice is a complete Heyting algebra. To this end, we generalize the characterization of regularity by a ”dual form” of a diagonal condition.
Jäger, G
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Probablistic convergence spaces and regularity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT ...
P. Brock, D. C. Kent
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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 Sequences of Quasi-Nonexpansive Operators and Their Applications
SIAM Journal on Optimization, 2018 In this paper we present a systematic study of regular sequences of quasi-nonexpansive operators in Hilbert space. We are interested, in particular, in weakly, boundedly and linearly regular sequences of operators. We show that the type of the regularity
Cegielski, Andrzej +2 more
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Sequential convergence of regular measures on prehilbert space logics
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 +2 more
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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.
Richardson, G. D., Kent, Darrell C.
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T-regular probabilistic convergence spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1998 AbstractA 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. Given a probabilistic convergence space, there exists a finest T-regular space which is coarser than the
Minkler, J., Minkler, G., Richardson, G.
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𝑇-regular-closed convergence spaces [PDF]
Proceedings of the American Mathematical Society, 1975 It is known that a convergence space which has a regular compactification is almost identical to a completely regular topological space. It is shown that a less restricitive class of convetgence spaces have T T -regular-closed extensions with the universal property of the Stone-Čech compactification.
D. C. Kent +2 more
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