What is a circle, really? | An invitation to Metric space
Not just weird looking circles, metric spaces are about convergence and topology!
Want to see more analysis? Check out this video 👉 • Why is it called the triangle inequality? ...
0:00 What is a circle?
0:41 distance isn't so obvious
1:05 what is distance?
2:05 metric space
2:56 the "usual" circle
4:05 "car distance"
5:20 p-distances and weirder circles
6:54 final comments on metric space and topology
#realanalysis #metricspace #distance #puremath #puremathematics #puremaths