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Friday, September 13, 2019

**Abstract:** A subset of the reals has the perfect set property if it is either countable or contains a copy of Cantor space --- the space of all infinite sequences of 0s and 1s. This is a strong form of the so-called Continuum Hypothesis and the Cantor--Bendixon theorem states that this property holds for all closed subsets of reals. We will discuss this representative theorem of the subject called Descriptive Set Theory and its connection with infinite games, if time permits.

Friday, September 20, 2019

Friday, September 27, 2019

Friday, October 4, 2019

Friday, October 11, 2019

Friday, October 18, 2019

Friday, October 25, 2019

Friday, November 1, 2019

Friday, November 8, 2019

Friday, November 15, 2019

Friday, December 6, 2019