Topology vs "a" Topology | Infinite Series
PBS Infinite Series PBS Infinite Series
313K subscribers
91,322 views
0

 Published On Dec 21, 2017

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi

What exactly is a topological space? Learn through active problem-solving at Brilliant: https://brilliant.org/InfiniteSeries/

Tweet at us! @pbsinfinite
Facebook: facebook.com/pbsinfinite series
Email us! pbsinfiniteseries [at] gmail [dot] com

Previous Episode
This Video was Not Encrypted with RSA | Infinite Series
   • This Video was Not Encrypted with RSA...  

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 by Munkres
https://www.amazon.com/Topology-2nd-J...

For the solution to the challenge question check out:
http://www.math3ma.com/mathema/2017/1...

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!

show more

Share/Embed