Souslin's Hypothesis and Convergence in Category
逻辑
2008-02-03 v1
摘要
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.
引用
@article{arxiv.math/9411205,
title = {Souslin's Hypothesis and Convergence in Category},
author = {Arnold W. Miller},
journal= {arXiv preprint arXiv:math/9411205},
year = {2008}
}