Results 1 to 10 of about 4,936,635 (261)
On Focal Borel Probability Measures [PDF]
Mathematics, 2022 The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open ...
Francisco Javier García-Pacheco +2 more
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On the Borel Classes of Set-Valued Maps of Two Variables [PDF]
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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Dera Natung Government College Research Journal, 2023 We define the concept of rough limit set of a triple sequence space of beta Stancu operators of Borel summability of gradual real numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of ...
Arulmani İndumathi +2 more
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Structure of the set of Borel exceptional vectors for entire curves. II
Математичні Студії, 2021 We have obtained a description of structure of the sets of Picard and Borel exceptional vectors for transcendental entire curve in some sense. We consider only $p$-dimensional entire curves with linearly independent components without common zeros.
A.I. Bandura, Ya.I. Savchuk
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Frucht’s theorem in Borel setting
Periodica Mathematica Hungarica, 2023 In this paper, we show that Frucht's theorem holds in Borel setting. More specifically, we prove that any standard Borel group can be realized as the Borel automorphism group of a Borel graph. A slight modification of our construction also yields the following result in topological setting: Any Polish group can be realized as the homeomorphic ...
Onur Bilge, Burak Kaya
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A NOTE ON ALMOST UNIFORM CONTINUITY OF BOREL FUNCTIONS ON POLISH METRIC SPACES
Проблемы анализа, 2022 With a simple short proof, this article improves a classical approximation result of Lusin’s type; specifically, it is shown that, on any given finite Borel measure space with the ambient space being a Polish metric space, every Borel real-valued ...
Y.-L. Chou
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function (Extended Abstract) [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 In this article we treat a notion of continuity for a multi-valued function F and we compute the descriptive set-theoretic complexity of the set of all x for which F is continuous at x.
Vassilios Gregoriades
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Boolean Valued Representation of Random Sets and Markov Kernels with Application to Large Deviations
Mathematics, 2020 We establish a connection between random set theory and Boolean valued analysis by showing that random Borel sets, random Borel functions, and Markov kernels are respectively represented by Borel sets, Borel functions, and Borel probability measures in a
Antonio Avilés López +1 more
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The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function [PDF]
Logical Methods in Computer Science, 2011 In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$.
Vassilios Gregoriades
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Full Information H2 Control of Borel-Measurable Markov Jump Systems with Multiplicative Noises
Mathematics, 2021 This paper addresses an H2 optimal control problem for a class of discrete-time stochastic systems with Markov jump parameter and multiplicative noises.
Hongji Ma, Yang Wang
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