Manifolds With Boundary
A slightly more general concept is sometimes useful. A topological manifold with boundary is a Hausdorff space in which every point has a neighborhood homeomorphic to an open subset of Euclidean half-space (for a fixed n):
The terminology is somewhat confusing: every topological manifold is a topological manifold with boundary, but not vice-versa.
Read more about this topic: Topological Manifold
Famous quotes containing the word boundary:
“Music is your own experience, your own thoughts, your wisdom. If you don’t live it, it won’t come out of your horn. They teach you there’s a boundary line to music. But, man, there’s no boundary line to art.”
—Charlie Parker (1920–1955)