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On abstract and almost-abstract density topologies

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Abstract

We concentrate on topologies generated by lower and almost-lower density operators on measurable spaces. Among others the existence of the smallest in the sense of inclusion abstract density topology on measurable space is investigated. Moreover, the separation axioms for such topologies are studied.

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  1. Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238, Łódź, Poland

    J. Hejduk & A. Loranty

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  1. J. Hejduk
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  2. A. Loranty
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Correspondence to A. Loranty.

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Hejduk, J., Loranty, A. On abstract and almost-abstract density topologies. Acta Math. Hungar. 155, 228–240 (2018). https://doi.org/10.1007/s10474-018-0838-3

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  • DOI: https://doi.org/10.1007/s10474-018-0838-3

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