A note on almost disjoint refinement
Petr Simon (1996)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Almost disjoint families and property (a)”
A note on almost disjoint refinement
Property and dominating families
Samuel Gomes da Silva (2005)
Commentationes Mathematicae Universitatis Carolinae
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Generalizations of earlier negative results on Property are proved and two questions on an -version of Jones’ Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions “ is regular” and “” the existence of a separable locally compact -space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal...
A note on nowhere dense sets in
Petr Simon (1990)
Commentationes Mathematicae Universitatis Carolinae
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MAD families and the rationals
Michael Hrušák (2001)
Commentationes Mathematicae Universitatis Carolinae
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Rational numbers are used to classify maximal almost disjoint (MAD) families of subsets of the integers. Combinatorial characterization of indestructibility of MAD families by the likes of Cohen, Miller and Sacks forcings are presented. Using these it is shown that Sacks indestructible MAD family exists in ZFC and that implies that there is a Cohen indestructible MAD family. It follows that a Cohen indestructible MAD family is in fact indestructible by Sacks and Miller forcings. A...