Kurepa's hypothesis and the continuum
Keith Devlin (1975)
Fundamenta Mathematicae
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Displaying similar documents to “Some remarks on non-special coherent Aronszajn trees”
Kurepa's hypothesis and the continuum
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Keith Devlin (1983)
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Ronald Jensen, Håvard Johnsbråten (1974)
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A non-metrizable collectionwise Hausdorff tree with no uncountable chains and no Aronszajn subtrees
Akira Iwasa, Peter J. Nyikos (2006)
Commentationes Mathematicae Universitatis Carolinae
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It is independent of the usual (ZFC) axioms of set theory whether every collectionwise Hausdorff tree is either metrizable or has an uncountable chain. We show that even if we add “or has an Aronszajn subtree,” the statement remains ZFC-independent. This is done by constructing a tree as in the title, using the set-theoretic hypothesis , which holds in Gödel’s Constructible Universe.
Some remarks on generalized Martin's Axiom.
Spasojević, Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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