The question is is the interior of closure of an open set equal the interior of the set?
That is, is this true:
$(\overline{E})^\circ=E^\circ$
($E$ open)
Thanks.
[Math] Interior of closure of an open set
general-topology
general-topology
The question is is the interior of closure of an open set equal the interior of the set?
That is, is this true:
$(\overline{E})^\circ=E^\circ$
($E$ open)
Thanks.
Best Answer
HINT: Try $E=(0,1)\cup(1,2)$ in $\Bbb R$.