Displaying similar documents to “Analytic partial orders and oriented graphs”

Graphs with multiple sheeted pluripolar hulls

Evgeny Poletsky, Jan Wiegerinck (2006)

Annales Polonici Mathematici

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We study the pluripolar hulls of analytic sets. In particular, we show that hulls of graphs of analytic functions can be multiple sheeted and sheets can be separated by a set of zero dimension.

Stable families of analytic sets

Pandelis Dodos (2003)

Colloquium Mathematicae

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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.