Title: Souslin's Hypothesis and Convergence in Category
Author: Arnold W. Miller
Abstract: A sequence of functions f_n: X -> R from a Baire
space X to the reals is said to converge in category iff every
subsequence has a subsequence which converges on all but a meager
set. We show that if there exists a Souslin Tree then there
exists a nonatomic Baire space X such that every sequence which
converge in category converges everywhere on a comeager set.
This answers a question of Wagner and Wilczynski, Convergence of
sequences of measurable functions, Acta Math Acad Sci Hung
36(1980), 125-128.