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Plenary and Semi-Plenary Talks

Semi-Plenary Talks #4.2

Subevent of Semi-Plenary Talks #4

HUMB 150

Times: 2025 Aug 14 from 01:00PM to 02:00PM (Central Time (US & Canada))

Webinar link: Icon: video Webinar

Infinite Games

Jocelyn Bell ⟨bell@hws.edu⟩

Abstract:

Nearly a century ago, the first infinite topological game was played on the tabletops of the Scottish Cafe in Poland. Now known as the Banach-Mazur game, it appeared in Problem 43 of the Scottish Book, posed by Banach and answered by Mazur. Since then, many others have been defined. A topological game typically involves two players alternately choosing objects from a space, such as points or open sets, according to a list of rules. They have been used not only to define topological properties but also to prove results seemingly unrelated to games. In this talk, we’ll play some of these games and discuss recent results.

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