Santi Spadaro

On some problems inspired by Arhangel’skii’s Theorem

Date: 1/30/2019
Time: 4:00PM-5:00PM
Place: 315 Armstrong Hall

Abstract: Arhangel’skii’s 1969 theorem on the cardinality of compact first-countable spaces is a milestone in set-theoretic topology. Besides solving a 50 year old question of Alexandroff and Urysohn, it introduced techniques that are now standard in the field and opened many new problems which continue to inspire current research. We will speak about our recent solutions to some of these problems, including a question about covering properties of the G_delta topology on a compact space which was posed by Arhangel’skii himself in 1970.

Our talk is based on joint works with Paul Szeptycki and Angelo Bella.

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