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 of
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Pre-topological spaces without axioms
Bibliography
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(1) - AERTS (D.), PULMANNOVÁ (S.) - Representation of state property systems, - Journal of Mathematical Physics, Vol. 47, No. 7, pp. 1-18 (2006).
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(2) - ALBUQUERQUE (L.) - Sur les ensembles clairsemés, - Portugaliae Mathematica, Vol. 3, No. 2-3, pp. 132-156 (1942a).
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