4 problems

Let $n$ and $m$ be the parameters for the corresponding Borel measurability levels, and let $\mathbf{X}$ and $\mathbf{Y}$ be Polish represented spaces. Write $\mathfrak{b}$ for the…

Let $n$ and $m$ be the parameters for the corresponding Borel measurability levels, and let $\boldsymbol{X}$ and $\boldsymbol{Y}$ be Polish represented spaces. Write $\mathfrak{b}$…

Let $\beta$ and $\alpha$ be ordinals with $\beta < \alpha$, and let $\mathbf{X}$ be a represented space. Write $\mathbf{X}^{(\alpha)}$ for its $\alpha$-th jump and $\chi^{(\beta)}$…

Let $(X,\delta)$ be a represented space, let ${\rm C}_X$ denote closed choice on $X$, and let $\lim$ denote the limit operation on Baire-space names. Non-characterization conjectur…