From: Lee Rudolph Subject: Re: classification of one dimensional manifold Date: 29 Oct 2001 09:55:57 GMT Newsgroups: sci.math Summary: [missing] "bomber0" writes: >"A connected, 2nd countable,1-dim manifold (without boundary) is >homeomorphic to R or S1 " or >"Show that S1 is the only compact 1 manifold" > >How can I prove this? >or >Where can I find proof of this? An appendix to Milnor's _Topology from the Differentiable Point of View_. Lee Rudolph ============================================================================== From: Chan-Ho Suh Subject: Re: classification of one dimensional manifold Date: Mon, 29 Oct 2001 10:42:37 -0800 Newsgroups: sci.math [quote of previous message deleted --djr] Slight correction: Milnor, Topology from the Differentiable Viewpoint. Also, he presupposes everything is in the smooth category. There's some work to show the result is true for the topological category.