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