  We introduce and study the notion of overt choice for countably-based spaces
and for CoPolish spaces. Overt choice is the task of producing a point in a
closed set specified by what open sets intersect it. We show that the question
of whether overt choice is continuous for a given space is related to
topological completeness notions such as the Choquet-property; and to whether
variants of Michael's selection theorem hold for that space. For spaces where
overt choice is discontinuous it is interesting to explore the resulting
Weihrauch degrees, which in turn are related to whether or not the space is
Frechet-Urysohn.
