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May 18, 2018 at 15:56 comment added Chris Leary @Will Sawin - I like this answer very much as well. I appreciate your time and effort
May 18, 2018 at 12:59 comment added Will Sawin @მამუკაჯიბლაძე There is a construction as maps $\mathbb Z \to \mathbb Z$ that are homomorphisms up to bounded error, modulo bounded functions.
May 18, 2018 at 12:35 comment added YCor @მამუკაჯიბლაძე Hom between two discrete groups will always be totally disconnected.
May 18, 2018 at 8:22 comment added მამუკა ჯიბლაძე I wonder if $\mathbb R$ can be obtained in some similar way...
May 18, 2018 at 5:31 history answered Will Sawin CC BY-SA 4.0