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[3] viXra:2005.0273 [pdf] submitted on 2020-05-28 16:20:35
Authors: Giorgio Nordo
Comments: 10 Pages.
In this paper we generalize the notion of perfect compactification of a Tychonoff space to a generic extension of any space by introducing the concept of perfect pair. This allow us to simplify the treatment in a basic way and in a more general setting. Some Skljarenko and Diamond’s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.
Category: Topology
[2] viXra:2005.0272 [pdf] submitted on 2020-05-28 16:22:50
Authors: Giorgio Nordo
Comments: 11 Pages.
We present some recent results in Fibrewise General Topology (FGT) with special regard to the theory of Tychonoff compactifications of mappings. Several open problems are also proposed.
Category: Topology
[1] viXra:2005.0266 [pdf] submitted on 2020-05-28 10:16:11
Authors: Giorgio Nordo, Arif Mehmood, Said Broumi
Comments: 14 Pages.
In this paper we give a comprehensive presentation of the notions of filter base, filter and ultrafilter on single valued neutrosophic set and we investigate some of their properties and relationships. More precisely, we discuss properties related to filter completion, the image of neutrosophic filter base by a neutrosophic induced mapping and the infimum and supremum of two neutrosophic filter bases.
Category: Topology
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