02-3   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Otmar Spinas:

Analytic Countably Splitting Families

A family $A\subs[\om]^{\om}$ is called countably splitting if for every countable $F\subs[\om]^{\om}$, some element of $A$ splits every member of $F$. We define a notion of a splitting tree, by means of which we prove that every analytic countably splitting family contains a closed countably splitting family. An application of this notion solves a problem of Blass.

Bibliographical note: Journal of Symbolic Logic 69 (2004), pp. 101-117.


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[Thu Feb 19 18:56:36 2009]
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