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ON LOWER AND SEMILOWER DENSITY OPERATORS
"... Abstract. This paper contains some results connected with topologies generated by lower and semilower density operators. We show that in some measurable spaces (X,S,J) there exists a semilower density operator which does not generate a topology. We investigate some properties of nowhere dense set ..."
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Abstract. This paper contains some results connected with topologies generated by lower and semilower density operators. We show that in some measurable spaces (X,S,J) there exists a semilower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σalgebras of sets having the Baire property, associated with the topology generated by a semilower density operator.