On closed embeddings in $P^N\cup Q^N$

Elżbieta Pol, Roman Pol, Mirosława Reńska

We prove that if a separable metrizable $X$ is a union of two disjoint 0-dimensional sets $E$, $F$, $E$ is absolutely $G_{\delta }$ and $F$ is absolutely $F_{\sigma \delta }$ then there is a closed em…