Results 1 to 10 of about 607 (146)
Topology and Its Applications, 1998 Quasi-metrizability of a topological space X is equivalent to the availability on X of a decreasing neighbourhood base 〈(x)n〉 at every x ϵ X, so constituted that, for every countable and relatively locally finiteA ⊂ X and n ϵ ω (writing, for each B ⊂ X ...
H.H. Hung, Hung, H.H.
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Another view of metrizability [PDF]
Proceedings of the American Mathematical Society, 1987 A fact long considered unsatisfactory about the classical metrization theorem of Alexandroff-Urysohn is that it expresses metrizability as a countable uniformity, uniformity itself being almost the former.
H. H. Hung
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Complete metrizability of topologies of strong uniform convergence on bornologies
Journal of Mathematical Analysis and Applications, 2012 We continue the study of topologies of strong uniform convergence on bornologies initiated by Beer and Levi (2009) [4]. In Beer and Levi (2009) [4] the metrizability of such topologies restricted to continuous functions was characterized and a compatible
Ľubica Holá
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On Metrizability of Topological Spaces
Canadian Journal of Mathematics, 1968 Our present work is divided into three sections. In §2 we study the metrizability of spaces with a Gδ-diagonal (see Definition 2.1). In §3 we study the metrization of topological spaces by means of collections of (not necessarily continuous) real-valued ...
Carlos J. R. Borges
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Additivity of metrizability and related properties
Topology and Its Applications, 1998 A topological property P is called n-additive in nth power (or weakly n-additive) if a topological space X has P as soon as Xn = ∪{Yi: i ϵ n} where all Yi have P.
Zoltan Balogh
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Completeness, metrizability and compactness in spaces of fuzzy-number-valued functions [PDF]
Fuzzy Sets and Systems, 2018 Fuzzy-number-valued functions, that is, functions defined on a topological space taking values in the space of fuzzy numbers, play a central role in the development of Fuzzy Analysis.
Juan J Font +2 more
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The constructive maximal point space and partial metrizability
Annals of Pure and Applied Logic, 2006 We argue that constructive maximality [P. Martin-Löf, Notes on Constructive Mathematics, Almqvist and Wicksell, Stockholm, 1970] can with advantage be employed in the study of maximal point spaces, and related questions in quantitative domain theory. The
Michael B Smyth
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CoRR, 2022 We study supervised learning problems that have significant effects on individuals from two demographic groups, and we seek predictors that are fair with respect to a group fairness criterion such as statistical parity (SP). A predictor is SP-fair if the distributions of predictions within the two groups are close in Kolmogorov distance, and fairness ...
Yves Rychener +2 more
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𝜅-metrizable spaces, stratifiable spaces and metrization [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that every κ \kappa ...
Suzuki, J., Tamano, K., Tanaka, Y.
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Subriemannian metrics and the metrizability of parabolic geometries [PDF]
, 2021 We present the linearized metrizability problem in the context of parabolic geometries and subriemannian geometry, generalizing the metrizability problem in projective geometry studied by R. Liouville in 1889. We give a general method for linearizability
Soucek, Vladimir +2 more
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