Baire category properties of function spaces with the Fell hypograph topology

摘要

For a Tychonoff space X and a subspace Y subset of R, we study Baire category properties of the space C-down arrow F(X, Y) of continuous functions from X to Y, endowed with the Fell hypograph topology. We characterize pairs X, Y for which the function space C down arrow F(X, Y) is oo-meager, meager, Baire, Choquet, strong Choquet, (almost) complete-metrizable or (almost) Polish. (C) 2019 Elsevier B.V. All rights reserved.