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Timeline for Unbounded metrics on groups

Current License: CC BY-SA 3.0

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May 7, 2013 at 14:13 history edited Lee Mosher
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May 5, 2013 at 21:33 vote accept H-Hook
May 5, 2013 at 0:39 comment added Włodzimierz Holsztyński @Yves: Let me try. Hm, it seems harder than the millennium problems.
May 4, 2013 at 21:28 comment added YCor @Wlodzimierz: how do you prove that the 0-1 metric is unbounded? :)
May 4, 2013 at 21:26 comment added Włodzimierz Holsztyński No compatibility? Then the 0-1 metrics would be an answer.
May 4, 2013 at 19:52 answer added Benjamin Steinberg timeline score: 8
May 4, 2013 at 18:35 comment added Benoît Kloeckner @Owen Sizemore: there is no compatibility with any given topology asked in the question.
May 4, 2013 at 18:02 comment added Owen Sizemore Do you mean $\textit{countable}$ group? Otherwise just take the uncountable product of a discrete group. The result is reasonably nice (ie it's a compact topological group). However, the underlying space is not metrizable.
May 4, 2013 at 14:48 comment added user1688 If $G$ is countable, then tehre exists even a proper invariant metric, as can be seen here: math.uni-bielefeld.de/~amanouss/papers/jlms1.pdf
May 4, 2013 at 14:32 history asked H-Hook CC BY-SA 3.0