Stable families of analytic sets
Volume 98 / 2003
Colloquium Mathematicum 98 (2003), 277-281
MSC: Primary 03E15.
DOI: 10.4064/cm98-2-11
Abstract
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.