Date: Nov 14, 2012 4:11 AM
Author: Robin Chapman
Subject: Re: Dimension of the space of real sequences

On 13/11/2012 22:27, José Carlos Santos wrote:
> Hi all,
>
> Can someone please tell me how to prove that the real vector space of
> all sequences of real numbers has uncountable dimension?


Consider the sequences
(1, a, a^2, a^3, ...)
as a runs through the reals.