# Talk by Prof. Dr. Jacques Duparc (LTCS)

Short Title:

Talk by J. Duparc

Event Date(s):

Thursday, 23. February 2017 -

13:30 to 15:00

**Venue:**

Room A097, ExWi, Sidlerstrasse 5, 3012 Bern

**Speaker:**

Prof. Dr. Jacques Duparc

**Title:**

Some remarks on Baire’s grand theorem

(joint work with Riccardo Camerlo — Politecnico di Torino)

**Abstract:**

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.)

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