A combinatorial characterization of second category subsets of X^ω

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dc.creatorTyszka, Apoloniusz
dc.date1999-12-07
dc.date2000-01-28
dc.date.accessioned2026-07-07T06:36:12Z
dc.date.available2026-07-07T06:36:12Z
dc.descriptionLet a finite non-empty X is equipped with discrete topology. We prove that S \subseteq X^ωis of second category if and only if for each f:ω-> \bigcup_{n \in ω} X^n there exists a sequence {a_n}_{n \in ω} belonging to S such that for infinitely many i \in ωthe infinite sequence {a_{i+n}}_{n \in ω} extends the finite sequence f(i).
dc.descriptionwith a counterexample by T. Bartoszynski, to appear in J. Nat. Geom
dc.identifierhttps://arxiv.org/abs/math/9912056
dc.identifierhttp://arxiv.org/abs/math/9912056
dc.identifierJournal of Natural Geometry 18 (2000), pp.125-130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100008
dc.subjectLogic
dc.subjectMathematical Physics
dc.subjectGeneral Topology
dc.subject03E05 (Primary), 54E52 (Primary)
dc.titleA combinatorial characterization of second category subsets of X^ω
dc.typetext

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