Perfect set theorems
Otmar Spinas
Fundamenta Mathematicae, Tome 201 (2008), p. 179-195 / Harvested from The Polish Digital Mathematics Library
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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 Gδ hereditary splitting families and for analytic countably ioe families. We construct several examples of small closed ioe and refining families.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:283359 
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     title = {Perfect set theorems},
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     volume = {201},
     year = {2008},
     pages = {179-195},
     zbl = {1159.03033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-2-6}
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Otmar Spinas. Perfect set theorems. Fundamenta Mathematicae, Tome 201 (2008) pp. 179-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-2-6/