Alexander V. Osipov

collaborators

4 papers

math.GN2025

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 $Q_{p} (X, R)$ of all quasicontinuous real-valued functions wit…

math.GN2024

On Baire property of spaces of compact-valued measurable functions

Alexander V. Osipov

A topological space $X$ is Baire if the Baire Category Theorem holds for $X$ , i.e., the intersection of any sequence of open dense subsets of $X$ is dense in $X$ . One of the intere…

math.GN2024

DieudonnÃ© completeness of function spaces

Mikhail Al'perin, Alexander V. Osipov

A space is called DieudonnÃ© complete if it is complete relative to the maximal uniform structure compatible with its topology. In this paper, we investigated when the function spa…

math.GN2024

Velichko's notions close to sequentially separability and their hereditary variants in $C_{p}$ -theory

Alexander V. Osipov

A space $X$ is sequentially separable if there is a countable $S \subset X$ such that every point of $X$ is the limit of a sequence of points from $S$ . In 2004, N.V. Velichko define…

Tightness type properties of spaces of quasicontinuous functions

On Baire property of spaces of compact-valued measurable functions

DieudonnÃ© completeness of function spaces

Velichko's notions close to sequentially separability and their hereditary variants in Cp​-theory

Velichko's notions close to sequentially separability and their hereditary variants in $C_{p}$ -theory