# Antonio Aviles: Compact spaces of the first Baire class

Place: Fields Institute (Room 210)

Date: April 1st, 2016 (13:30-15:00)

Speaker: Antonio Aviles

Title: Compact spaces of the first Baire class

Abstract: A Rosenthal compactum is a pointwise compact set of functions of
the first Baire class on a Polish space. In a sense, the role of Rosenthal
compacta inside the larger class of general compacta is similar to the role
of analytic sets inside the class of general subsets of Polish spaces. Many
pathologies are discarded by their definable nature and structural theorems
appear instead. We will review some facts and we will present more recent
results in collaboration with S. Todorcevic and with A. Poveda and S.
Todorcevic.