On convergence of \omega_1 sequences of real functions


T. Natkaniec and J.~Wesolowska

19 pages; Acta Math. Hungar., to appear.

We study sets of points at which \omega_1 sequences of real functions from a given class F converge. As F we consider continuous functions, first class of Baire, Borel measurable functions, functions with Baire property and Lebesgue measurable functions. Connections of those problem with additional set-theoretic axioms are discussed.

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Last modified February 3, 2000.