English

A Non-$\mathbb R$-Factorizable Product of $\mathbb R$-Factorizable Groups

General Topology 2025-06-24 v2

Abstract

An example of two R\mathbb R-factorizable groups whose product is not R\mathbb R-factorizable is constructed. One of these groups is second-countable and the other Lindel\"of to any finite power.

Keywords

Cite

@article{arxiv.2303.08878,
  title  = {A Non-$\mathbb R$-Factorizable Product of $\mathbb R$-Factorizable Groups},
  author = {Ol'ga Sipacheva},
  journal= {arXiv preprint arXiv:2303.08878},
  year   = {2025}
}
R2 v1 2026-06-28T09:19:14.098Z