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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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12.  4 axiom pre-topological spaces

12.1  Sierpińsky and Appert pre-topological spaces

Definition (Sierpińsky's (1928, 1934) and Appert's (1933, 1937) pre-topological space). A Sierpińsky and Appert's pre-topological space (E,cl) is a non-empty set E provided with a pre-closure operator cl(⋅) satisfying the axioms (K Gr ), (K Iso ), (K Ext ) and (K subid ) (p. 13 of

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4 axiom pre-topological spaces
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