13. Subset ideals
In a non-empty set E, the ideals of subsets are exactly the ideals in the sense of ordered set theory, where the relevant order relation is defined by the inverse ensemblistic inclusion .
13.1 Ideals
Definition (ideal of subsets (Stone, 1936) (Tarski, 1937)). Let E be a non-empty set. A subset ideal (subsetideal) of E, denoted , is a (not necessarily non-empty) collection of subsets of E such that if (p. 21 of
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Subset ideals
Pre- and sub-assembly grids
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