Consider \( (\mathbb{Z}, T) \), where \( T \) is the topology generated by sets of the form
\[
A_{m,n} = \{ m + nk \mid k \in \mathbb{Z} \}, \quad \text{for } m, n \in \mathbb{Z} \text{ and } n \neq 0.
\]
Then, which of the following statements are TRUE?