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It might have been the strangest and strongest sequence of sets I've heard at Bonnaroo, a pop festival that gets broader every year, and harder to contain with any sort of narrative.
Let be a sequence of sets in.
Recall Kuratowski's notion of lower and upper limits of sequence of sets.
Let us assume that there exists an increasing sequence of sets such that.
In this way, we define the sequence of sets Θ n, n = 1, 2,...
such that (2.2). for any disjoint sequence of sets in whose union is also in.
The sequence of sets s obtained will be an element of the intended model and have the intended extension.
Let us assume that there exists an increasing sequence of sets K n ∈ P such that Ω = ∪K n.
Let us assume that there is an increasing sequence of sets K n ∈ P such that Ω = ⋃ K n.
A function modular is called -finite if there exists an increasing sequence of sets such that and.
A sequence of sets is said to converge in the sense of Painleve-Kuratowski (P.K). to (i.e., ) if (2.6).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com