Results 11 to 20 of about 88,517 (218)
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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Random selection of Borel sets
Applied General Topology, 2010 A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated.
Bernd Günther
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Random selection of Borel sets II
Applied General Topology, 2012 The theory of random Borel sets as presented in part I of this paper is developed further. Special attention is payed to the reconstruction of the topology of the underlying space from our presentation of the measure algebra, to an analysis of capacities
Bernd Günther
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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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The Complexity of Infinite Computations In Models of Set Theory [PDF]
Logical Methods in Computer Science, 2009 We prove the following surprising result: there exist a 1-counter B\"uchi automaton and a 2-tape B\"uchi automaton such that the \omega-language of the first and the infinitary rational relation of the second in one model of ZFC are \pi_2^0-sets, while ...
Olivier Finkel
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Proceedings of the American Mathematical Society, 1986 Topological characterizations of all zero-dimensional homogeneous absolute Borel sets are obtained; it turns out that there are ω 1 {\omega _1} such spaces. We use results from game theory—particularly, about Wadge classes.
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A dedekind finite borel set [PDF]
Archive for Mathematical Logic, 2010 Latex2e: 21 pages Latest version at http://www.math.wisc.edu ...
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Key renewal theorem and asymptotics of the renewal measure on Borel sets
European Journal of Mathematics and Applications, 2023 We prove a uniform key renewal theorem with submultiplicative estimate of the remainder. The asymptotic behavior of the renewal measure on Borel sets of arbitrary form is also considered.
M.S. Sgibnev
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Infinite sequential Nash equilibrium [PDF]
Logical Methods in Computer Science, 2013 In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play in turn.
Stephane Le Roux
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Universally measurable sets in generic extensions [PDF]
, 2009 A subset of a topological space is said to be \emph{universally measurable} if it is measured by the completion of each countably additive $\sigma$-finite Borel measure on the space, and \emph{universally null} if it has measure zero for each such ...
Larson, Paul +2 more
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