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Nov 21, 2017 at 12:59 comment added YCor About continuous self-maps of $\mathbb{G}$, see also mathoverflow.net/a/286575/14094
Nov 19, 2017 at 22:47 vote accept Dominic van der Zypen
Nov 19, 2017 at 21:29 comment added YCor No, because I'm far from a proof. It would require a proof of the fixed point property. I only suspect it holds.
Nov 19, 2017 at 20:28 comment added Dominic van der Zypen Can you elaborate a bit and maybe add this as an answer? Thanks @YCor
Nov 19, 2017 at 20:23 comment added YCor I'd have tried with the Golomb space minus some lacunary subset (maybe $\{n!:n\ge 1\}$ is OK). Just to discard those maps $n\mapsto kn$ and remain connected.
Nov 19, 2017 at 20:10 answer added Dave L Renfro timeline score: 5
Nov 19, 2017 at 19:43 history asked Dominic van der Zypen CC BY-SA 3.0