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.
Scheduled for: 2025-08-11 01:00 PM: Semi-Plenary Talk #1.2
Status: Accepted
Collection: Plenary and Semi-Plenary Talks
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