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added top-level tag - this one seems closets to topological groups; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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Martin Sleziak
Martin Sleziak
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added doi + link
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Martin Sleziak
Martin Sleziak
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separable Separable topology on a group

In the paper "Continuous isomorphisms onto separable groups""Continuous isomorphisms onto separable groups", Applied General Topology, (13) 2012, 135--150, L. Morales Lopez proved Theorem: Let $G$ be an Abelian group with $|G| \leq 2^{2^{\aleph_0}}$. Then $G$ admits a separable, precompact, Hausdorff group topology. It is not true for general non-abelian groups by Shelah's results.

Is it true that any solvable group admits a separable Hausdorff group topology? Are there any published results about sufficient conditions under which a group admits a separable Hausdorff group topology?

separable topology on a group

In the paper "Continuous isomorphisms onto separable groups", Applied General Topology, (13) 2012, 135--150, L. Morales Lopez proved Theorem: Let $G$ be an Abelian group with $|G| \leq 2^{2^{\aleph_0}}$. Then $G$ admits a separable, precompact, Hausdorff group topology. It is not true for general non-abelian groups by Shelah's results.

Is it true that any solvable group admits a separable Hausdorff group topology? Are there any published results about sufficient conditions under which a group admits a separable Hausdorff group topology?

Separable topology on a group

In the paper "Continuous isomorphisms onto separable groups", Applied General Topology, (13) 2012, 135--150, L. Morales Lopez proved Theorem: Let $G$ be an Abelian group with $|G| \leq 2^{2^{\aleph_0}}$. Then $G$ admits a separable, precompact, Hausdorff group topology. It is not true for general non-abelian groups by Shelah's results.

Is it true that any solvable group admits a separable Hausdorff group topology? Are there any published results about sufficient conditions under which a group admits a separable Hausdorff group topology?

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Leiderman
Leiderman
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separable topology on a group

In the paper "Continuous isomorphisms onto separable groups", Applied General Topology, (13) 2012, 135--150, L. Morales Lopez proved Theorem: Let $G$ be an Abelian group with $|G| \leq 2^{2^{\aleph_0}}$. Then $G$ admits a separable, precompact, Hausdorff group topology. It is not true for general non-abelian groups by Shelah's results.

Is it true that any solvable group admits a separable Hausdorff group topology? Are there any published results about sufficient conditions under which a group admits a separable Hausdorff group topology?