4 ms·
Another way to get to this, with perhaps wrong reasoning: 1. Deform the figure until the non-arrowed edges are a disc, and the arrowed edges are next to one an
by smallnamespace 10y ago
Another way to get to this, with perhaps wrong reasoning:
1. Deform the figure until the non-arrowed edges are a disc, and the arrowed edges are next to one another, so you have something like a Pac man figure where the arrowed edges are the mouth.
2. This figure clearly has 1 edge (the outer edge) but only 1 side -- to get to the 'back' side, go through the mouth
Since all the matters topologically is number of edges and sides, this is identical to a Mobius strip.
- ColinWright 10y ago> Since all the matters topologically > is number of edges and sides, ... That turns out not to be the case. A torus with a hole and a sphere with a hole both have two sides and one edge. A Klein Bottle with a hole also has one side and one edge, and is not a Möbius strip. So that's not enough, and might not be right.
- smallnamespace 10y agoYeah I think a problem with this article is that hints at what you can do in topology, but it doesn't really explicitly tell you what all the rules of the game are.
- ColinWright 10y agoI guess to some extent that's the difference between an article intended for a general audience, and an actual proper course on point-set topology. There are limits to what you can cover.