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  1. Topology and Dynamics
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  5. 2026

General and Set-Theoretic Topology

Icon: calendar General & ST Session #2.2 | 2026 Mar 11 from 04:15PM to 04:45PM (Central Time (US & Canada)) | Heritage Hall Building 124

‟Using the Pi-Base for Undergraduate Research” by Daniel Leary <del2522@jagmail.southalabama.edu>, University of South Alabama

Abstract:

The $\pi$-Base is a database devoted to general topology, listing topological spaces, their properties, and theorems relating properties together. In this talk, I will show how I used the $\pi$-Base as an undergraduate student to discover interesting research problems. As an example, I will show how the $\pi$-Base led to me proving that a non-semiregular almost discrete space must be the disjoint union of the Sierpiński space and a discrete space.

Author Notes: