Re: Base R^infinity ??

"W. Dale Hall" <mailtodhall@xxxxxxxxx> writes:



gabriel_skupien@xxxxx wrote:
What is the base space R^infinity ? Is it uncuntable ?


I'm thinking English may not be your native tongue, er,
language.

I'm certainly glad you didn't say "mother tongue". We
don't need no mothertonguers around here, no sir.

Besides that, I don't quite understand your query.

My printable guess is that he wants to know the algebraic
dimension of the vectorspace R^infinity. Of course the answer
depends on what he means by "R^infinity". I (and I suspect,
you) prefer it to mean the vectorspace of eventually-0
sequences of real numbers, in which case the dimension is
of course countably infinite. But I fear that some people
use it to mean that other thing.

Lee Rudolph
.