Date: Nov 13, 2012 8:20 PM
Subject: Re: Dimension of the space of real sequences
Ken Pledger <email@example.com> wrote:
> In article <agfvqlFbot6U1@mid.individual.net>,
> José Carlos Santos <firstname.lastname@example.org> wrote:
> > ....
> > Can someone please tell me how to prove that the real vector space of
> > all sequences of real numbers has uncountable dimension? ....
> Over what field? Over the reals, the dimension is surely countable,
> isn't it? Or am I misunderstanding something?
> Ken Pledger.
For every infinite
The SET of reals as a vector space over the rationals is of uncountable