Geodesic
Perfect set theorems
Otmar Spinas 1
1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel 24098 Kiel, Germany
Fundamenta Mathematicae, Tome 201 (2008) no. 2, pp. 179-195 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm201-2-6
Keywords: study splitting infinitely often equal ioe refining families descriptive point view try characterize closed borel analytic families proving perfect set theorems succeed delta hereditary splitting families analytic countably ioe families construct several examples small closed ioe refining families

Otmar Spinas  1

1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel 24098 Kiel, Germany 
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Otmar Spinas. Perfect set theorems. Fundamenta Mathematicae, Tome 201 (2008) no. 2, pp. 179-195. doi: 10.4064/fm201-2-6

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