2017-12-21

[public] 76.8K views, 2.81K likes, 283 dislikes audio only

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This Video was Not Encrypted with RSA | Infinite Series

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We’ve talked about topology here on Infinite Series. It’s the branch of math where we study properties of shapes that are preserved no matter how you bend, twist, stretch or deform them. And you’ve probably come across some cool examples of these shapes - or topological spaces - like spheres and tori, Mobius bands and Klein bottles. In this episode we discuss the the 3 axioms that underlie all of topology. If you want to dive deeper after watching this episode check out the links below:

References:

Topology Via Logic by S. Vickers

https://books.google.com/books/about/Topology_Via_Logic.html?id=peXBNAEACAAJ

Topology by Munkres

https://www.amazon.com/Topology-2nd-James-Munkres/dp/0131816292

For the solution to the challenge question check out:

http://www.math3ma.com/mathema/2017/12/21/topology-vs-a-topology

Written and Hosted by Tai-Dinae Bradley

Produced by Rusty Ward

Graphics by Ray Lux

Assistant Editing and Sound Design by Meah Denee Barrington and Emma Dessau

Made by Kornhaber Brown (www.kornhaberbrown.com)

Thanks to Matthew O'Connor, Yana Chernobilsky and John Hofmann who are supporting us on Patreon at the Identity level!

And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!