4 problems

Let ${\mathcal A}$ be an analytic subset of a Polish space and let ${\mathcal Y}$ be separable metrizable. For a function $f:{\mathcal A}\to{\mathcal Y}$, interpret…

Let $f:{\rho\text{X}}\to{\rho\text{Y}}$ be a function between suitable Polish-space domains and codomains, where the Borel hierarchy is measured by the levels of preimages and deco…

Let $m,n\in\omega$. For a class of Borel functions, $\mathbf{dec}_{n+1}\mathcal{F}$ denotes functions decomposable into countably many $\mathcal{F}$-functions with…

A function from an analytic space into a separable metric space is called Borel-decomposable at a finite level when it can be decomposed into countably many functions of the prescr…