Abstract:We show that if $\Cal A$ is an uncountable AD (almost disjoint) family of subsets of $\omega $ then the space $\Psi (\Cal A)$ does not admit a continuous selection; moreover, if $\Cal A$ is maximal then $\Psi (\Cal A)$ does not even admit a continuous selection on pairs, answering thus questions of T. Nogura.
Keywords: MAD family, Vietoris topology, continuous selection
AMS Subject Classification: 54C65, 54B20, 03E05