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Quizzed article | REF: AF96 V1

Pretopology

Author: Jean-Charles PINOLI

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

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8. Pre-topological spaces without axioms

8.1 Koutský's general pre-topological spaces

Definition (Koutský's pre-topological space (1938)). A Koutský's pre-topological space or pre-topological space without axioms (E,cl) is a non-empty set E with a pre-closure operator cl(⋅) that does not satisfy any axiom of the generalized Kuratowski axiomatics ( , p. 99 of

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Pre-topological spaces without axioms
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