07-12   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Otmar Spinas:

Perfect Set Theorems

We study splitting, infinitely often equal and refining families from the descriptive point of view, i.e. we try to characterize closed, Borel or analytic such families by proving perfect set theorems. We succeed for Gδ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.

Bibliographical note: bei den Fundamenta Mathematicae zur Publikation angenommen

Keywords: Splitting family, infinietly often equal family, refining family, hereditary, perfect set, 2-colorable hypergraph


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[Thu Feb 19 18:56:37 2009]
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