Results 211 to 220 of about 3,080 (245)
Topology and Its Applications, 1998 A “bad Borel subfield” of a space X is an infinite countably σ-generated σ-subfield of Borel sets none of which (other than Ø and X) is open or closed. X has “very bad Borel subfields” if, for each countable ordinal α, there is such a field of Borel sets
Stone, A.H.
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A note on the Borel types of some small sets
Georgian Mathematical Journal, 2018 The Borel types of some classical small subsets of the real line are considered. In particular, under Martin’s axiom it is shown that there are at least
Alexander Kharazishvili
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On the Equivalence of Borel Sets
Mathematical Notes, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarcable Properties of Positive Measures on Borel Sets
Procedia Technology, 2015 In the following we present the most important properties of positive measures on Borel ...
Mărginean, Diana
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On omega context free languages which are Borel sets of infinite rank
Theoretical Computer Science, 2003 The supremum of the set of Borel ranks of omega-context-free languages is actually greater than the first non-recursive ordinal. This has been proved later in a paper "Borel Ranks and Wadge Degrees of Omega Context Free Languages" published in the ...
Olivier Finkel
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Journal of Symbolic Logic, 1998
Henson and Ross [1] answered the question of when two hyperfinite sets A, B in an ℵ1-saturated nonstandard universe are bijective by a Borel function: precisely when ∣A∣/∣B∣ ≈ 1. Živaljević [5] generalized this result to nonvanishing Borel sets. He defined a set to be nonvanishing if it is Loeb-measurable and has finite, non-zero measure with respect ...
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Henson and Ross [1] answered the question of when two hyperfinite sets A, B in an ℵ1-saturated nonstandard universe are bijective by a Borel function: precisely when ∣A∣/∣B∣ ≈ 1. Živaljević [5] generalized this result to nonvanishing Borel sets. He defined a set to be nonvanishing if it is Loeb-measurable and has finite, non-zero measure with respect ...
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Journal of Symbolic Logic, 1973
This paper is concerned with the hyderdegrees of elements of uncountable Borel subsets of ωω. The Borel subsets of ωω are the so-called Δ11 subsets of ωω, which are the subsets of ωω that are Δ11 in some parameter f: ω → ω.The results of this paper were inspired by two earlier results about the hyperdegrees of elements of Σ11 subsets of ωω.
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This paper is concerned with the hyderdegrees of elements of uncountable Borel subsets of ωω. The Borel subsets of ωω are the so-called Δ11 subsets of ωω, which are the subsets of ωω that are Δ11 in some parameter f: ω → ω.The results of this paper were inspired by two earlier results about the hyperdegrees of elements of Σ11 subsets of ωω.
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International Journal of Game Theory, 2003
The authors consider an \(n\)-person stochastic game with a Borel state space and compact metric action sets. Under some measurability and continuity conditions, the following holds: If the payoff to each player \(i\) is 1 or 0 according to whether or not the stochastic process stays forever in a given Borel set \(G_i\) then there exists a Nash ...
Ashok P. Maitra, William D. Sudderth
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The authors consider an \(n\)-person stochastic game with a Borel state space and compact metric action sets. Under some measurability and continuity conditions, the following holds: If the payoff to each player \(i\) is 1 or 0 according to whether or not the stochastic process stays forever in a given Borel set \(G_i\) then there exists a Nash ...
Ashok P. Maitra, William D. Sudderth
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CONFORMAL IMAGES OF BOREL SETS
Bulletin of the London Mathematical Society, 2003Let \(f\) be a function meromorphic on the unit disc \(D\) in the complex plane, and let \(C\) denote the unit circle. For a point \(\zeta\in C\), the value \(f(\zeta)\) is called the radial limit of \(f\) at \(\zeta\) if \(f (r\zeta)\to f(\zeta)\) as \(r\to 1-\). Let \(E_f\) denote the set of points \(\zeta\in C\) at which \(f\) has a radial limit. It
Cantón, A. +2 more
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Borel sets and Ramsey's theorem
Journal of Symbolic Logic, 1973Definition 1. For a set S and a cardinal κ,In particular, 2ω denotes the power set of the natural numbers and not the cardinal 2ℵ0. We regard 2ω as a topological space with the usual product topology.Definition 2. A set S ⊆ 2ω is Ramsey if there is an M ∈ [ω]ω such that either [M]ω ⊆ S or else [M]ω ⊆ 2ω − S.Erdös and Rado [3, Example 1, p.
Fred Galvin, Karel Prikry
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