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Timeline for Simple but topologizable [closed]

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May 23, 2014 at 18:36 history closed YCor
Chris Godsil
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Kevin P. Costello
Noah Schweber
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May 23, 2014 at 17:51 history undeleted Minimus Heximus
May 23, 2014 at 17:51 history deleted Minimus Heximus via Vote
May 23, 2014 at 14:49 comment added Johannes Hahn @MinimusHeximus You don't have to be "familiar". That real matrix groups are topological groups w.r.t. the euclidean topology is immediately obvious.
May 23, 2014 at 14:39 comment added Minimus Heximus @JohannesHahn: I didn't have an example of topologizable but Alexandrov non-topologizable. I'm not so familiar with Lie groups and matrix groups.
May 23, 2014 at 14:09 comment added Johannes Hahn Since the discrete and the indiscrete topology are always compatible with the group structure, having three topologies isn't really that big of a requirement. In particular: Any (at least one-dimensional) group theoretically simple Lie-group will satisfy it.
May 23, 2014 at 11:43 review Close votes
May 23, 2014 at 18:40
May 23, 2014 at 11:26 comment added YCor $PSL_2(\mathbf{Q})$. It has infintely many group topologies, namely those induced by the embeddings $\mathbf{Q}\subset\mathbf{Q}_p$ where $p$ ranges over primes (possibly including $\mathbf{Q}_0=\mathbf{R}$ as well).
May 23, 2014 at 11:18 answer added Yiftach Barnea timeline score: 1
May 23, 2014 at 10:54 history asked Minimus Heximus CC BY-SA 3.0