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In mathematics, a filtration F {\displaystyle {\mathcal {F}}} is, informally, like a set of ever larger Russian dolls, each one containing the previous ones, where a "doll" is a subobject of an algebraic structure. Formally, a filtration is an indexed family ( S i ) i ∈ I {\displaystyle (S_{i})_{i\in I}} of subobjects of a given algebraic structure S…
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displaystyle filtration set mathcal topology filtrations probability given sequence subseteq geq space time tau requirement also descending mathbb filtered satisfy
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