Definitions
sided [sahy-did]

2-sided

In topology, a compact codimension one submanifold F of a manifold M is said to be 2-sided in M when there is an embedding
hcolon Ftimes [-1,1]to M
with h(x,0)=x for each xin F and
h(Ftimes [-1,1])cap partial M=h(partial Ftimes [-1,1]).

This means, for example that a curve in a surface is 2-sided if it has a tubular neighborhood which is a cartesian product of the curve times an interval.

A curve which is not 2-sided is called 1-sided.

Related Articles

Search another word or see sidedon Dictionary | Thesaurus |Spanish
  • Please Login or Sign Up to use the Recent Searches feature