User:Raphael Carroy

From Young Set Theory Network

Raphael Carroy

ISI

University of Lausanne

Research Statement

I work in descriptive set theory. To be more accurate, my concern is with mesurable functions from the Baire space in itself. My purpose is to find out how to define a hierarchy of Borel functions, and what it looks like. The general idea is to find well-suited games such that a Borel function can be seen as a strategy in those games if and only if the degree of inverse images of open sets is bounded in the Borel hierarchy.