RECTANGULAR AXIOMS, PERFECT SET PROPERTIES AND DECOMPOSITION

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...

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Bibliographic Details
Published in:Bulletin de l'Académie serbe des sciences, Classe des sciences mathématiques et naturelles. Sciences mathématiques Classe des sciences mathématiques et naturelles. Sciences mathématiques, 2008-01 (33), p.91-130
Main Authors: Brendle, J., Larson, P., Todorčević, S.
Format: Article
Language:English
Subjects:
Axioms
Cardinality
Cofinality
Integers
Mathematical functions
Mathematical logic
Mathematical sequences
Mathematical set theory
Null set
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Summary: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.
ISSN:0561-7332
2406-0909