Not a homeomorphism

Here an operation on a rectangle is shown that is not a homeomorphism. Punching a hole in a topological space is not bi-continuous.

After the hole is made the further change is a homeomorphism. The burning endges symbolize that the topological space depicted does not have an edge around the hole.

This Video was produces for a topology seminar at the Leibniz Universitaet Hannover.

http://www-ifm.math.uni-hannover.de/~fugru/?topologie_teil1

Category:

Howto & Style

Tags:

• topology
• mathematics
• homeomorphism
• fire
• bothmer
• fugru

[rasmusfribble]

I don't think I gained much mathematical insight from that, but ooooooh... burning things...

[97kevinhuanle]

so it's... a bisexual square?