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Titlebook: Derivation and Martingales; Charles A. Hayes,Christian Y. Pauc Book 1970 Springer-Verlag Berlin Heidelberg 1970 Derivation.Martingal.Marti

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https://doi.org/10.1007/978-3-658-09625-0elated terms see [., 19 – 26] and [., 1–27]) of all subsets of ., and ∅) is the empty subset of .. By . we understand an indexed set of sets. For any two sets . and . belonging to ., . ⊃ . stands for the ordinary inclusion of . in ., allowing the equality . = .. We employ the lattice theoretical sym
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Juliane Meyerhoff,Christoph Brühllong to intervals of . of arbitrarily small length, then for any ε > 0 there exists an enumerable (countable) disjoint subfamily {.} of . covering . (mod .) and satisfying μ̄(.−. · .) < ε, where . and μ denotes Borel measure on ..
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Juliane Meyerhoff,Christoph Brühl and A. P. . (blankets); later certain concrete situations (e. g., the interval basis) are studied. The principal tool is a Vitali property, whose precise form depends on the derivation property studied.
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Derivation Theorems for σ-additive Set Functions under Assumptions of the Vitali Typelong to intervals of . of arbitrarily small length, then for any ε > 0 there exists an enumerable (countable) disjoint subfamily {.} of . covering . (mod .) and satisfying μ̄(.−. · .) < ε, where . and μ denotes Borel measure on ..
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