Some properties of the density topology with respect to an extension of the Lebesgue measure.
The paper concerns topologies introduced in a topological space (X, τ) by operators which are much weaker than the lower density operators. Some properties of the family of sets having the Baire property and the family of meager sets with respect to such topologies are investigated.
This paper is dealing of the homeomorphisms of the density type topologies introduced in [3].
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