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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