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General and Set-Theoretic Topology

General & ST Session #2.2

Subevent of General & ST Session #2

Heritage Hall Building 124

Times: 2026 Mar 11 from 04:15PM to 04:45PM (Central Time (US & Canada))

Using the Pi-Base for Undergraduate Research

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 SierpiƄski space and a discrete space.

Notes:

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