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Topic: some amateurish opinions on CH
Replies: 57   Last Post: Apr 16, 2013 8:12 PM

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fom

Posts: 1,968
Registered: 12/4/12
Re: some amateurish opinions on CH
Posted: Apr 16, 2013 8:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 4/16/2013 4:09 PM, Shmuel (Seymour J.) Metz wrote:
> 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.
>


Thank you.

And, of course, you are correct. Mathematically,
these are stipulated definitions.

In this case, I had been trying to speak of its
relation to its application. Perhaps "requirement"
is the applicable term here. But, my skills *are*
deteriorated, and, I often fail to make the distinction
as carefully as I should. Your diligence in pointing
that out is appreciated.




Date Subject Author
4/7/13
Read some amateurish opinions on CH
fom
4/7/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: some amateurish opinions on CH
Bergholt Stuttley Johnson
4/7/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/7/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/7/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/7/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: some amateurish opinions on CH
Virgil
4/8/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/8/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/8/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/8/13
Read Re: some amateurish opinions on CH
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: some amateurish opinions by WM
Virgil
4/8/13
Read Re: some amateurish opinions on CH
Virgil
4/9/13
Read Re: some amateurish opinions on CH
apoorv
4/8/13
Read Re: some amateurish opinions on CH
Virgil
4/7/13
Read Re: some amateurish opinions on CH
Virgil
4/9/13
Read Re: some amateurish opinions on CH
Guest
4/9/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/9/13
Read Re: some amateurish opinions on CH
fom
4/10/13
Read Re: some amateurish opinions on CH
Guest
4/10/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/10/13
Read Re: some amateurish opinions on CH
fom
4/10/13
Read Re: some amateurish opinions on CH
JT
4/11/13
Read Re: some amateurish opinions on CH
apoorv
4/11/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/11/13
Read Re: some amateurish opinions on CH
apoorv
4/11/13
Read Re: some amateurish opinions on CH
fom
4/15/13
Read Re: some amateurish opinions on CH
apoorv
4/15/13
Read Re: some amateurish opinions on CH
fom
4/16/13
Read Re: some amateurish opinions on CH
Shmuel (Seymour J.) Metz
4/16/13
Read Re: some amateurish opinions on CH
fom
4/7/13
Read Re: some amateurish opinions on CH
Virgil
4/7/13
Read Re: some amateurish opinions on CH
William Elliot
4/7/13
Read Re: some amateurish opinions on CH
fom
4/7/13
Read Re: some amateurish opinions on CH
fom
4/8/13
Read Re: some amateurish opinions on CH
William Elliot
4/8/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
William Elliot
4/9/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
William Elliot
4/9/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/9/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/9/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/9/13
Read Re: some amateurish opinions on CH
fom
4/10/13
Read Re: some amateurish opinions on CH
fom
4/11/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/11/13
Read Re: some amateurish opinions on CH
fom
4/11/13
Read Re: some amateurish opinions on CH
dan.ms.chaos@gmail.com
4/11/13
Read Re: some amateurish opinions on CH
fom
4/9/13
Read Re: some amateurish opinions on CH
fom

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