A. V. Osipov

collaborators

2 papers

math.GN2025

The $Δ_{1}$ -property of $X$ is equivalent to the Choquet property of $B_{1} (X)$

Alexander V. Osipov

We give a characterization of the $Δ_{1}$ -property of any Tychonoff space $X$ in terms of the function space $B_{1} (X)$ of all Baire-one real-valued functions on a space $X$ with the t…

math.GN2025

The $κ$ -Fréchet-Urysohn property for $C_{p} (X)$ is equivalent to Baireness of $B_{1} (X)$

Alexander V. Osipov

A topological space $X$ is Baire if the intersection of any sequence of open dense subsets of $X$ is dense in $X$ . We establish that the property $(κ)$ for a Tychonoff space $X$ is…

The Δ1​-property of X is equivalent to the Choquet property of B1​(X)

The κ-Fréchet-Urysohn property for Cp​(X) is equivalent to Baireness of B1​(X)

The $Δ_{1}$ -property of $X$ is equivalent to the Choquet property of $B_{1} (X)$

The $κ$ -Fréchet-Urysohn property for $C_{p} (X)$ is equivalent to Baireness of $B_{1} (X)$