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math.GN2024
Relatively functionally countable subsets of products
Anton Lipin
A subset of a topological space is called relatively functionally countable (RFC) in , if for each continuous function the set is countable…
math.GN2024
Tightness type properties of spaces of quasicontinuous functions
Anton E. Lipin, Alexander V. Osipov
Using approximation by continuous functions we prove the following statements to types of tightness in a space of all quasicontinuous real-valued functions wit…
math.GN2024
On resolvability and tightness in uncountable spaces
Anton Lipin
We investigate connections between resolvability and different forms of tightness. This study is adjacent to [1,2]. We construct a non-regular refinement of the natural topol…