15. Building pre-topological spaces

15.1 By binary relations

On a given ambient set, binary relations can be used to construct pre-closure operators and thus pre-topological spaces.

Definition (preopological spaces induced by a first binary relation). Let E be a non-empty ambient set and .

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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).
(2) - ALBUQUERQUE (L.) - Sur les ensembles clairsemés, - Portugaliae Mathematica, Vol. 3, No. 2-3,...

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