Date: Nov 13, 2012 7:48 PM Author: Ken.Pledger@vuw.ac.nz Subject: Re: Dimension of the space of real sequences 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?