A Non-$\mathbb R$-Factorizable Product of $\mathbb R$-Factorizable Groups. (arXiv:2303.08878v1 [math.GN]) http://arxiv.org/abs/2303.08878
An example of two $\mathbb R$-factorizable groups whose product is not $\mathbb R$-factorizable is constructed. One of these groups is second-countable.
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