Topological Spaces Visually Explained

Video Description

Topology begins with the simple notion of an open set living in a Topological Space and beautifully generalizes to describing shapes in various dimensions. So what exactly is a Topological Space? _____ Join my Patreon community: https://www.patreon.com/abidebyreason Support the channel with a one-time donation: https://ko-fi.com/abidebyreason _____ Related Videos: Why the Cantor Set is Perfect: https://youtu.be/c4oKdtUtJOk Visualizing the Rationals: https://youtu.be/wE1iJkXs1Xg Why the Rationals Have Measure 0: https://youtu.be/1qbjjgesp-c The Connection Between Measure Theory, Set Theory, and Banach-Tarski: https://youtu.be/SvfATfaL2qc Banach-Tarski Paradox Explained: https://youtu.be/R--iM5KbDEg Intro to Measure Theory: https://youtu.be/1BhSQiHTNbg Intro to Group Theory: https://youtu.be/5qmsqwxrSLc _____ Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k