This is where we will classify compact connected 2-manifolds topologically. An orientable 2-manifold is one for which all paths are orientation-preserving. A non-orientable 2-manifold contains at least one orientation-reversing path; equivalently, it contains a Möbius band.
The sphere
The torus
a torus with some handles, etc.
The Klein bottle
The projective plane
The Geometry Center Home Page
Topological Zoo
Welcome Page
Comments to: webmaster@www.geom.uiuc.edu
Created: Jun 27 1995 ----
Last modified: Sun Dec 3 21:16:59 1995
Copyright © 1995 by
The Geometry Center,
all rights reserved