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.