Affiliation:
1. A. Razmadze Mathematical InstituteofI. Javakhishvili Tbilisi State University, 6 Tamarashvili Str., Tbilisi0177, Georgia
Abstract
AbstractFor certain families of topologies, the existence of a
common Sierpiński–Zygmund function (of a common Sierpiński–Zygmund
function in the strong sense) is established. In this connection, the notion of a Sierpiński–Zygmund space (of a Sierpiński–Zygmund space in the strong sense)
is introduced and examined. The behavior of such spaces under some standard
topological operations is considered.
Funder
Shota Rustaveli National Science Foundation
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1. Almost continuous Sierpiński–Zygmund functions under different set-theoretical assumptions;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-11-14