Subset filters
Ordered Set Theory

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Subset filters
Ordered Set Theory

Author : Jean-Charles PINOLI

Review date: May 7, 2021 | Lire en français

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12.  Subset filters

In a non-empty set E, subset filters are exactly filters in the sense of ordered set theory, where the relevant order relation is defined by the ensemblistic inclusion .

12.1  Filters

Definition (subset filter (Cartan (1937)). Let E be a non-empty set. A subsetfilter of E, denoted F , is a stack of non-empty subsets of E satisfying the axiom (Fsif)...

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