Holly Miller, Temple University
Event Date
2026-02-27
Event Time
01:00 pm ~ 02:00 pm
Event Location
617 Wachman Hall
This talk aims to motivate the concept of a uniform space, which holds the essentials to define uniform continuity and completion. We will begin with a brief and pictoral introduction to filters, connectors, and uniformities---set theoretic machinery necessary to define them. After demonstrating that both (semi-)metric spaces and topological groups are uniform spaces, we show how this abstraction gives intuitive proofs of some separation results for this family. We'll conclude by sketching a proof that the uniform spaces are exactly the completely regular* topological spaces