Souslin's Hypothesis and Convergence in Category

dc.creatorMiller, Arnold W.
dc.date1994-11-01
dc.date.accessioned2026-07-07T09:15:12Z
dc.date.available2026-07-07T09:15:12Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/math/9411205
dc.identifierhttp://arxiv.org/abs/math/9411205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152936
dc.subjectLogic
dc.titleSouslin's Hypothesis and Convergence in Category
dc.typetext

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