Graduate Logic Group: Cardinality of Uncountable Borel sets in Polish Spaces | Department of Mathematics

Graduate Logic Group: Cardinality of Uncountable Borel sets in Polish Spaces

Event Information
Event Location: 
GAB 461
Event Date: 
Wednesday, November 8, 2017 - 3:45pm

We will prove and use a few useful facts about uncountable Polish spaces (Perfect set property, Cantor-Bendixson Analysis, and the change in topology theorem) to show that any uncountable Borel set in a Polsih space has cardinality continuum.