Date: Nov 13, 2012 8:34 PM
Author: archimede plutanium
Subject: Re: Dimension of the space of real sequences

On Tuesday, November 13, 2012 5:27:34 PM UTC-5, 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?
> 
> 
> 
> Best regards,
> 
> 
> 
> Jose Carlos Santos

Isn't the set Del^i_j , where the sequence is 1 in the i-th spot and 0 

everywhere else linearly-independent?