2 problems

Let $X$ be a perfect Polish space, meaning a separable completely metrizable space with no isolated points. Let $cmathsf{BA}(X)$ denote the Baumgartner axiom parametrized by $X$, a…

Let $cmathsf{BA}$ denote Baumgartner's axiom for the real line, and let $cmathsf{BA}(X)$ be its parametrized version for a topological space $X$. For a positive integer $n$, write…