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