On τ-base and e-density of topological spaces
R.B. BeshimovNational University of Uzbekistan, Tashkent, UzbekistanR.M. JuraevNational University of Uzbekistan, Tashkent, UzbekistanR.Z. ManasipovaNational University of Uzbekistan, Tashkent,Uzbekistan
ABI
Abstract
In this paper, we prove some properties of families of ?-open sets, study the properties of the space of ?-continuous mappings, as well as the properties of the e-density of topological spaces. We prove an analogue of A.V.Arkhangelskii?s theorem for ?-base. Also we showed that the base of a topological space is not always a ?-base. We introduce the notion of e-density of topological spaces. As well as, we investigate some properties of this cardinal function. It is given an example of a topological space, e-density of which is not equal to its density.
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