Authors: Brendle, Jörg
Larson, Paul
Todorčević, Stevo 
Title: Rectangular axioms, perfect set properties and decomposition
Journal: Bulletin, Classe des Sciences Mathematiques et Naturelles, Sciences Mathematiques
Volume: 137
Issue: 33
First page: 91
Last page: 130
Issue Date: 1-Dec-2008
ISSN: 0561-7332
Abstract: 
We consider three combinatorial topics appearing in Gödel's manuscript Some considerations leading to the probable conclusion that the true power of the continuum is א2. 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.
Keywords: Goedel's rectangular axioms | Perfect-set properties | The cardinality of the continuum
Publisher: Academie Serbe des Sciences

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