Number of Connected One-Dimensional Manifolds

The current Wikipedia article on Manifolds says that:

I'm confused by the third statement as I would have thought that the half-open interval (0,1] and the circle are both connected one-dimensional manifolds but that neither of them are homeomorphic to either the open or closed intervals.

What am I missing?

UPDATE (2005-10-03): Looks like the Wikipedia entry is, in fact, wrong in making the third statement above.

UPDATE: next post

The original post was in the category: poincare_project but I'm still in the process of migrating categories over.

The original post had 9 comments I'm in the process of migrating over.