The Separation Axioms (A Topology Visual)

A topology on a set gives a notion of “shape“ or “vicinity“ (loosely speaking) to the set. There are different classes of topological spaces based on how finely the topology can distinguish between two distinct points or sets in the space. Here we provide a visual of five levels of this distinguishability: Kolmogorov (T0), Frechet (T1), Hausdorff (T2), Regular Hausdorff (T3), and Normal Hausdorff (T4). See videos early by following me on Instagram: (as well as previews, behind-the-scenes, and more content). Support the channel on Patreon: (newly launched, still adjusting/figuring out patron perks. Feel free to shoot me ideas!) Special thanks to my supporters on Patreon: cb, Dru Vitale, RYAN KUEMPER Music by Sakis Strigas: My current equipment for making videos (affiliate links): Camera: Microphone(s): Audio Interface: