Topology vs "a" Topology | 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

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)

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

Video source Youtube

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