Results 171 to 180 of about 6,838,637 (208)
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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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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1965
Abstract The descriptive theory of Borel sets is developed for a fairly general class of spaces. For a satisfactory theory it seems to be necessary to work with a Hausdorff space subject to the condition that each open set can be expressed as a countable union of closed sets. Under this condition it is shown that the descriptive Borel
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Abstract The descriptive theory of Borel sets is developed for a fairly general class of spaces. For a satisfactory theory it seems to be necessary to work with a Hausdorff space subject to the condition that each open set can be expressed as a countable union of closed sets. Under this condition it is shown that the descriptive Borel
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Wadge hierarchy and Veblen hierarchy Part I: Borel sets of finite rank
Journal of Symbolic Logic (JSL), 2001J. Duparc
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Borel Sets, Random Variables, and Borel Functions
1990In Chapter 3, we note that the class of events is assumed to be a sigma algebra of subsets of the basic space Ω. In Appendix 2a, we characterize a sigma algebra of events as a class closed under complements and countable unions, and show that these conditions imply closure under countable intersections.
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A Linear Borel set whose Difference set is not a Borel set
Bulletin of the London Mathematical Society, 1970openaire +2 more sources
Descriptive Set Theory and Forcing: How to Prove Theorems about Borel Sets the Hard Way
Lecture Notes in Logic, 1995A. W. Miller
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