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General and Set-Theoretic Topology

General & ST Session #2.3

Subevent of General & ST Session #2

Heritage Hall Building 124

Times: 2026 Mar 11 from 04:50PM to 05:20PM (Central Time (US & Canada))

Covers, Stars, and Points, Oh My!

Jocelyn Bell <bell@hws.edu>, Hobart and William Smith Colleges

Abstract:

The proximal game, introduced in 2014, is a two-player infinite game played in a uniform space. It relies on the uniform structure in an inherent way: the first player chooses elements of the uniformity while the other selects points. A winning strategy for the first player implies the space has certain additional topological properties, which as such are independent of the particular uniform structure with which the game was played. So, is the uniform structure really necessary? I will discuss some recent progress in divorcing the proximal game from its reliance on a uniform structure, resulting in the creation of purely topological “point-star” games.

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