On lower density type operators and topologies generated by them

Jacek Hejduk, Sebastian Lindner, Anna Loranty


In the paper we concentrate on lower, almost-lower and semi-lower density operators on measurable spaces. The existence of maximal element in the families of such operators is investigated. Moreover, we consider topologies generated by the above operators. Among others the existence of the greatest (in the sense of inclusion) such topology on measurable space is studied.


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