
Re: Dimension of the space of real sequences
Posted:
Nov 13, 2012 8:34 PM


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?

