Lower density soft operators and density soft topologies [PDF]
HeliyonThe classical density topology is derived from the Lebesgue density points of Lebesgue measurable sets. Wilczynski proposed a more general scheme for defining density points.
Zanyar A. Ameen +2 more
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Coboundaries of commuting Borel automorphisms [PDF]
Opuscula Mathematica, 2021 We show that if \(S\), \(T\) are two commuting automorphisms of a standard Borel space such that they generate a free Borel \(\mathbb{Z}^2\)-action then \(S\) and \(T\) do not have same sets of real valued bounded coboundaries.
Shrey Sanadhya
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Congruence Representations via Soft Ideals in Soft Topological Spaces
Axioms, 2023 This article starts with a study of the congruence of soft sets modulo soft ideals. Different types of soft ideals in soft topological spaces are used to introduce new weak classes of soft open sets.
Zanyar A. Ameen, Mesfer H. Alqahtani
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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 (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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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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Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Demonstratio Mathematica, 2021 Cantor sets are constructed from iteratively removing sections of intervals. This process yields a cumulative distribution function (CDF), constructed from the invariant Borel probability measure associated with their iterated function systems.
Byars Allison +5 more
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Infinite games with uncertain moves [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 We study infinite two-player games where one of the players is unsure about the set of moves available to the other player. In particular, the set of moves of the other player is a strict superset of what she assumes it to be.
Nicholas Asher, Soumya Paul
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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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Regular tree languages in low levels of the Wadge Hierarchy [PDF]
Logical Methods in Computer Science, 2019 In this article we provide effective characterisations of regular languages of infinite trees that belong to the low levels of the Wadge hierarchy. More precisely we prove decidability for each of the finite levels of the hierarchy; for the class of the ...
Mikołaj Bojańczyk +3 more
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