What is a basis for vector space of {(a_1,a_2,...)} a_i real?

From: Ron Jones (ronjones_at_iprimus.com.au)
Date: 08/30/04 

Date: Mon, 30 Aug 2004 12:52:50 +1000

Hi
I'd be very grateful if anyone could answer the following.
If V is the set of all countable-tuples (a_1,a_2,a_3,...) where a_i are
rational or real, then under usual pointwise addition and scalar
multiplication it is a vector space. Every vector space has a basis - what
then is a basis of V? Also any book that deals with infinite-dimensional
spaces - thanks
Ron Jones

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