Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXXVII, No. 33, pp. 91–130 ()
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXVII, No. 33, pp. 91–130 () |
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Rectangular axioms, perfect set properties and decompositionJ. Brendle, P. Larson and S. TodorcevicGraduate School of Science and Technology, Kobe University, Kobe 657-8501, JapanDepartment of Mathematics and Statistics, Miami University, Oxford, OH 45056, USA Universite Paris VII – C. N. R. S., UPRESA 7056, Paris 75251, Cedex 05, France Abstract: 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. Keywords: Goedel's rectangular axioms, the cardinality of the continuum, perfect-set properties Classification (MSC2000): 03E50, 03E17 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 7 Sep 2008. This page was last modified: 20 Jun 2011.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
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