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Feb 22, 2019 at 17:03 history edited Taras Banakh CC BY-SA 4.0
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May 20, 2018 at 16:41 vote accept Vincenzo Zaccaro
May 20, 2018 at 9:00 comment added Taras Banakh The universal homomorphism will be the natural map of $M$ to the topological group $\ell_2\times\mathbb Z\times L^\infty$, but the latter topological group is not sequential, so, not a quotient space of any metrizable space.
May 20, 2018 at 8:57 comment added მამუკა ჯიბლაძე Is it difficult to describe the universal continuous homomorphism of your $M$ to a topological group?
May 20, 2018 at 8:52 history answered Taras Banakh CC BY-SA 4.0