Weakly infinite dimensional subsets of R^N

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dc.creatorBabinkostova, Liljana
dc.creatorScheepers, Marion
dc.date2008-11-22
dc.date2009-01-22
dc.date.accessioned2026-07-07T12:32:26Z
dc.date.available2026-07-07T12:32:26Z
dc.descriptionThe Continuum Hypothesis implies an Erdös-Sierpiński like duality between the ideal of first category subsets of $\reals^{\naturals}$, and the ideal of countable dimensional subsets of $\reals^{\naturals}$. The algebraic sum of a Hurewicz subset - a dimension theoretic analogue of Sierpinski sets and Lusin sets - of $\reals^{\naturals}$ with any compactly countable dimensional subset of $\reals^{\naturals}$ has first category.
dc.description16 pages, corrected Statements of Theorem 6 and Lemma 8, Inserted Problem 1, Inserted remarks by R. Pol, solving Problem 3, in "Added in Proof" section
dc.identifierhttps://arxiv.org/abs/0811.3661
dc.identifierhttp://arxiv.org/abs/0811.3661
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216781
dc.subjectGeneral Topology
dc.subject03E17, 03E50, 54D20, 54F45
dc.titleWeakly infinite dimensional subsets of R^N
dc.typetext

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