#
1 definition
by
**moebeeus**

Top Definition

Let A=\0,1\^2 with the Euclidian topology and ~ be an equivalence relation on A such that (a,b)~(c,d) if and only if a is either 0 or 1, a=1-c, and b=1-d. Let B=A/~ with the quotient topology. Then B is a Mobius strip.

A Mobius strip is a connected, path-connected, compact, normal differentiable 2-manifold with countable basis induced by {B(a,b) intersect A for a,b are rationals} but can only be embedded in R^n for n=3 or higher.

by moebeeus
May 04, 2004

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