
Re: Dimension of the space of real sequences
Posted:
Nov 14, 2012 4:19 AM


On 14/11/2012 01:34, plutanium.archimedis@gmail.com wrote: > On Tuesday, November 13, 2012 5:27:34 PM UTC5, 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 ith spot and 0 > > everywhere else linearlyindependent?
Yes; it's also countable.

