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Alexander V. Osipov

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Preprint Aug 2026

Some function applications of weak $\lambda$-spaces

In this paper it is proved that there exists (in $ZFC$) a separable pseudocompact weak $\lambda$-space $X$ which is not $\Delta_1$-space. It follows that there exists a space $X$ such that $B_1(X,[0, 1])$ is Choquet, while $B_1(X)$ is not Choquet. Also it is proved that there exists a $\gamma$-set $X$ which is not weak...

Alexander V. Osipov · 0 citations