On measurability and regularity
نویسندگان
چکیده
منابع مشابه
Remarks on Μ′′-measurable Sets: Regularity, Σ -smoothness, and Measurability
Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈ . ( ) is the algebra generated by and ( ) denotes those nonnegative, finite, finitely additive measures μ on ( ). I( ) denotes the subset of ( ) of nontrivial zeroone valued measures. Associated with μ ∈ I( ) (or Iσ ( )) are the outer measures μ′ and μ′′ considered in detail. In addition, measurability conditions a...
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For a ⊆ b ⊆ ω with b\a infinite, the set D = {x ∈ [ω] : a ⊆ x ⊆ b} is called a doughnut. Doughnuts are equivalent to conditions of Silver forcing, and so, a set S ⊆ [ω] is called Silver measurable, also known as completely doughnut, if for every doughnut D there is a doughnut D′ ⊆ D which is contained or disjoint from S. In this paper, we investigate the Silver measurability of ∆2 and Σ 1 2 set...
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This paper is about the existence and regularity of the transition probability matrix of a nonhomogeneous continuous-time Markov process with a countable state space. A standard approach to prove the existence of such a transition matrix is to begin with a continuous (in t) and conservative matrix Q(t) = [qij(t)] of nonhomogeneous transition rates qij(t), and use it to construct the transition ...
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Let ẽ ≥ φ be arbitrary. A central problem in arithmetic Lie theory is the computation of symmetric arrows. We show that ū ≡ ∞. In contrast, this reduces the results of [33] to an approximation argument. Therefore it is essential to consider that may be smooth.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0239032-8