Marczewski-Burstin-like characterizations of σ-algebras, ideals, and measurable functions
نویسندگان
چکیده
منابع مشابه
On Marczewski-burstin Representations of Algebras and Ideals
We study MB-representations of algebras and ideals when they are relativized to a subset, and when one considers the operations of sum and intersection for families of algebras and ideals. We observe that the algebras ∆α, 3 ≤ α < ω1, on R are MB-representable under GCH. We find a class of topological spaces in which the algebra of clopen sets is MB-representable.
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Using the methods of Brown and Walsh, we get condition guaranteeing that, for an ideal I of sets in a perfect Polish space some (s0) sets are not in I. A few examples and corollaries are given.
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These are some brief notes on the translation from Razborov’s recently-developed notion of flag algebra ([9]) into the lexicon of functions and measures on certain abstract Cantor spaces (totally disconnected compact metric spaces). 1 The objects of interest Consider a universal first-order theory T with equality in a language L that contains only predicate symbols; assume T has infinite models...
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This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1999
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-82-2-277-286