Date: Nov 14, 2012 7:23 PM
Author: Shmuel (Seymour J.) Metz
Subject: Re: Dimension of the space of real sequences

In <>, on
at 01:48 PM, Ken Pledger <> said:

>In article <>,
> JosÚ Carlos Santos <> wrote:

>> ....
>> Can someone please tell me how to prove that the real vector space of
>> all sequences of real numbers has uncountable dimension? ....

> Over what field? Over the reals, the dimension is surely
>countable, isn't it?

No. See Hamel basis in

Shmuel (Seymour J.) Metz, SysProg and JOAT <>

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