The paper constructs a countable abelian group whose bounded Zariski topologies are all distinct, shows that groups with no algebraicity have hyperconnected semigroup Zariski topology, and proves that on symmetric groups the semigroup Hausdorff-Markov topology equals the pointwise convergence…
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A note on intrinsic topologies of groups
The paper constructs a countable abelian group whose bounded Zariski topologies are all distinct, shows that groups with no algebraicity have hyperconnected semigroup Zariski topology, and proves that on symmetric groups the semigroup Hausdorff-Markov topology equals the pointwise convergence…