Let $\mathcal L(\Bbb Z)$ be the set of all group topologies on $\Bbb Z$. It is known that $(\mathcal L(\Bbb Z),\subseteq)$ is a modular complete lattice.
Is $(\mathcal L(\Bbb Z),\subseteq)$ distributive?
Let $\mathcal L(\Bbb Z)$ be the set of all group topologies on $\Bbb Z$. It is known that $(\mathcal L(\Bbb Z),\subseteq)$ is a modular complete lattice. Is $(\mathcal L(\Bbb Z),\subseteq)$ distributive? |
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