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Topic: Limit by limit of curves
Replies: 25   Last Post: Apr 21, 2012 7:56 AM

 Messages: [ Previous | Next ]
 Kaba Posts: 289 Registered: 5/23/11
Re: Limit by limit of curves
Posted: Apr 13, 2012 3:03 PM

quasi wrote:
> I'm not saying there isn't one -- just that I'm not aware
> of any such book. If you find one, and if it's reasonably
> well known, then I'll withdraw my objection.

But what is the objection?

I would understand an objection if there were at least one valid
alternative way to interpret the notation. Just give me an ambiguity,
and I'll ditch the notation:)

> If there's no such book, or if one exists but is essentially
> obscure, then your usage is non-standard. Even then, I'm not
> objecting to your use of a non-standard notation, but if you
> agree that it's non-standard, why not define it before using
> it?

To answer that, do you agree that there is a standard definition of
"c is a limit of a function at p" which works for all topological
spaces, and captures the correct concept? If yes, what is that
definition?

--
http://kaba.hilvi.org

Date Subject Author
4/12/12 Kaba
4/12/12 David C. Ullrich
4/16/12 Kaba
4/17/12 David C. Ullrich
4/21/12 Kaba
4/21/12 David C. Ullrich
4/12/12 quasi
4/12/12 Kaba
4/12/12 quasi
4/12/12 Kaba
4/12/12 quasi
4/12/12 quasi
4/12/12 Kaba
4/12/12 Kaba
4/13/12 quasi
4/13/12 Kaba
4/13/12 quasi
4/13/12 Kaba
4/13/12 quasi
4/13/12 Kaba
4/14/12 quasi
4/14/12 Kaba
4/14/12 Kaba
4/15/12 Shmuel (Seymour J.) Metz
4/12/12 Ron
4/13/12 quasi