8. Pre-topological spaces without axioms
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
that does not satisfy any axiom of the generalized Kuratowski axiomatics (
, p. 99...
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Pre-topological spaces without axioms
Bibliography
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(1) - AERTS (D.), PULMANNOVÁ (S.) -
Representation of state property systems,
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Journal of Mathematical Physics, Vol. 47, No. 7, pp. 1-18 (2006).
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(2) - ALBUQUERQUE (L.) -
Sur les ensembles clairsemés,
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Portugaliae...
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