Some topological properties of e-space and description of τ-closed sets
R. B. BeshimovNational University of Uzbekistan, Tashkent, UzbekistanD.N. GeorgiouUniversity of Patras, Department of Mathematics, Patra, GreeceRustam Mekhriddinovich JuraevNational University of Uzbekistan, Tashkent, UzbekistanR.Z. ManasipovaNational University of Uzbekistan, Tashkent, UzbekistanF. SeretiUniversity of Western Macedonia, Department of Mathematics, Kastoria, Greece
ABI
Аннотация
In this paper we study preserving properties of the e-space under the normal functors ?n, SPn and expn. We prove that when a topological space X is an e-space, the spaces Xn, SPnX and expnX are also e-spaces. We also study the behavior of e-continuity of mappings, proving that the functors ?n, SPn and expn preserve the e-continuity. In addition, we introduce the notions of ?-boundary points, ?-cluster points and ?-boundary of a set and study many of their properties.
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