7. Pre-closure axioms
Let (E,cl) be a general preopological space. The axioms that can be satisfied by the pre-closure operator are numerous and constitute the generalized Kuratowski axiomatics.
7.1 Generalized Kuratowski axiomatics
Definition (generalized Kuratowski axiomatics). Let (E,cl) be a general preopological space. The axioms that can be satisfied by the preclosure operator are the following (pp. 234-235 of
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Pre-closure axioms
Pre-topological spaces without axioms
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