Perfect set theorems

Volume 201 / 2008

Otmar Spinas Fundamenta Mathematicae 201 (2008), 179-195 MSC: 03E05, 03E15, 03E17. DOI: 10.4064/fm201-2-6

Abstract

We study splitting, infinitely often equal (ioe) 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 $G_\delta $ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.

Authors

  • Otmar SpinasMathematisches Seminar
    Christian-Albrechts-Universität zu Kiel
    24098 Kiel, Germany
    e-mail

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