Reznichenko E., Sipacheva O. Weird R-factorizable groups // arXiv:2506.18733 [math.GN]. — 2025.
Аннотация
The problem of the existence of non-pseudo-ℵ1-compact ℝ-factorizable groups is studied. It is proved that any such group is submetrizable and has weight larger than ω1. Closely related results concerning the ℝ-factorizability of products of topological groups and spaces are also obtained (a product X×Y of topological spaces is said to be ℝ-factorizable if any continuous function X×Y→ℝ factors through a product of maps from X and Y to second-countable spaces).