Subject: Addition to the question about manifolds and CW-complexes From: Yuri Turygin Date: Tue, 14 Mar 2006 18:32:07 -0500 (EST) I'd like to make the following addition to my latest question about manifolds and CW-complexes: After I posted a question about existence of a CW-structure on a topological manifold I've got a few responses from people explaining to me how a Morse function defines a CW-structure on a differentiable manifold. And I wanna thank all those for taking interest, but, I must clarify, I didn't really mean for a manifold in my question to be differentiable. I've heard that the question whether an arbitrary topological manifold can be triangulated is still open, but it's a known fact that each top manifold has a CW-structure, and that's exactly what I'm asking the reference for. Sincerely, Yuri Turygin