Let $A,B$ be subsets of space $X$.
I know that $\text{Cl}(A\cap B)\subseteq \text{Cl}(A)\cap \text{Cl}(B)$, but under which condition does $\text{Cl}(A)\cap \text{Cl}(B)\subseteq \text{Cl}(A\cap B)$?
Thanks
Let $A,B$ be subsets of space $X$.
I know that $\text{Cl}(A\cap B)\subseteq \text{Cl}(A)\cap \text{Cl}(B)$, but under which condition does $\text{Cl}(A)\cap \text{Cl}(B)\subseteq \text{Cl}(A\cap B)$?
Thanks
This question has been answered here. For this condition to happen, we need a discrete topology.