Almost disjoint families and property (a)

Paul Szeptycki; Jerry Vaughan

A note on almost disjoint refinement

Petr Simon (1996)

Acta Universitatis Carolinae. Mathematica et Physica

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Property $(a)$ and dominating families

Samuel Gomes da Silva (2005)

Commentationes Mathematicae Universitatis Carolinae

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Generalizations of earlier negative results on Property $(a)$ are proved and two questions on an $(a)$ -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 “ $2^{ω}$ is regular” and “ $2^{ω} < 2^{ω_{1}}$ ” the existence of a $T_{1}$ separable locally compact $(a)$ -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 $ω^{*}$

Petr Simon (1990)

Commentationes Mathematicae Universitatis Carolinae

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