How do I exhibit an open cover of the closed unit ball of the following:
(a) $X = \ell^2$
(b) $X=C[0,1]$
(c) $X= L^2[0,1]$
that has no finite subcover?
How do I exhibit an open cover of the closed unit ball of the following:
(a) $X = \ell^2$
(b) $X=C[0,1]$
(c) $X= L^2[0,1]$
that has no finite subcover?