Talk by J. Duparc (LTCS)

Short Title: 
Talk by J. Duparc
Event Date(s): 
Thursday, 23. February 2017 -
13:30 to 15:00

Room A097, ExWi, Sidlerstrasse 5, 3012 Bern

J. Duparc

Some remarks on Baire’s grand theorem
(joint work with Riccardo Camerlo — Politecnico di Torino)

We provide a game theoretical proof of the fact that if $f$ is a function from a zero-dimensional Polish space to $\mathbb{N}^{\mathbb{N}}$ that has a point of continuity when restricted to any non-empty compact subset, then $f$ is of Baire class $1$.
We use this property of the restrictions to compact sets to give a generalisation of Baire's grand theorem for functions of any Baire class.

(The talk will start from scratch and not assume any particular knowledge of topology.)