Geodesic
Rectangular axioms, perfect set properties and decomposition
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 91 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We consider three combinatorial topics appearing in G{o}del's manuscript emph{Some considerations leading to the probable conclusion that the true power of the continuum is $\aleph_{2}$}. These statements concern rectangular functions, perfect set properties, and covering properties of sets of reals. We consider these statements in light of more recent work on the set theory of the reals.
Classification : 03E50 03E17
Keywords: Goedel's rectangular axioms, the cardinality of the continuum, perfect-set properties 
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     title = {Rectangular axioms, perfect set properties and decomposition},
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J. Brendle; P. Larson; S. Todorčević. Rectangular axioms, perfect set properties and decomposition. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 91 . http://geodesic.mathdoc.fr/item/BASS_2008_33_a5/