
Re: some amateurish opinions on CH
Posted:
Apr 16, 2013 5:09 PM


In <y42dnQVoINGVpfHMnZ2dnUVZ_o2dnZ2d@giganews.com>, on 04/15/2013 at 12:25 PM, fom <fomJUNK@nyms.net> said:
>What you are referring to as a "finite indivisible unit" seems to >be the necessary assumption in differential geometry that >coordinate charts can be constructed from locally homeomorphic >(do I mean diffeomorphic ?) copies of real manifolds pasted >together.
That's a definition rather than a requirement. The definition of a manifold does not require that the transition functions be local diffeomorphisms, but in DG you are not dealing with generic manifolds but specifically with differential manifolds, so you do need differentiability requirements.
 Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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