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Article | REF: AF96 V1

Pretopology

Author: Jean-Charles PINOLI

Publication date: February 10, 2020, Review date: May 7, 2021

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7. Pre-closure axioms

Let (E,cl) be a general preopological space. The axioms that can be satisfied by the cl(⋅) 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 cl(.) are the following...

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