Is a Möbius band homeomorphic to a torus?
It seems like it would be, but if someone tracks the points of either surface, it doesn't seem to share homeomorphism; however genus-wise, they appear homeomorphic. Which one is it?
This page is a permanent link to the reply below and its nested replies. See all post replies »
fredcs
I think of it more as a 2 dimensional object in 3 dimensional space
TetrisGuy · 26-30, M
Well yeah, but that doesn't say anything about whether or not it's homeomorphic to a torus.