Note on a theorem of J. Baumgartner

Keith Devlin

Displaying similar documents to “Note on a theorem of J. Baumgartner”

Reduced powers of $ℵ_{2}$ -trees

Keith Devlin (1983)

Fundamenta Mathematicae

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A new construction of a Kurepa tree with no Aronszajn subtree

Keith Devlin (1983)

Fundamenta Mathematicae

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Rudin's Dowker space in the extension with a Suslin tree

Teruyuki Yorioka (2008)

Fundamenta Mathematicae

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We introduce a generalization of a Dowker space constructed from a Suslin tree by Mary Ellen Rudin, and the rectangle refining property for forcing notions, which modifies the one for partitions due to Paul B. Larson and Stevo Todorčević and is stronger than the countable chain condition. It is proved that Martin's Axiom for forcing notions with the rectangle refining property implies that every generalized Rudin space constructed from Aronszajn trees is non-Dowker, and that the same...