Series: Penn State Logic Seminar Date: Tuesday, September 21, 2004 Time: 2:30 - 3:45 PM Place: 307 Boucke Building Speaker: John Clemens, Penn State, Mathematics Title: The Wadge Degrees, part 1 Abstract: Given two subsets A and B of the Baire space (or the Cantor space), we say that A is Wadge reducible to B if A is a continuous preimage of B. The equivalence classes under this ordering are called Wadge degrees. The structure of the Wadge degrees has a rich theory which can be analyzed using infinite games, and under determinacy assumptions about these games the structure is completely determined. I will give an overview of this area and prove some of the main properties.