The following question evolved during a lecture in the Linear Algebra course for M.S. students:
Do we have an explicit basis for the vector space V:= {($x_1, x_2, \ldots, x_n, \ldots ): x_i \in \mathbb{R}, \forall i \geq 1$} over the field $\mathbb R$ of reals? Or, has it been proved in literature that one cannot get hold of an explicit basis for this vector space?
