M.G. Tkachenko
Complete $\aleph _0$-bounded groups need not be $\Bbb R$-factorizable

Comment.Math.Univ.Carolinae 42,3 (2001) 551-559.

Abstract:We present an example of a complete $\aleph _0$-bounded topological group $H$ which is not $\Bbb R$-factorizable. In addition, every $G_\delta $-set in the group $H$ is open, but $H$ is not Lindel\"of.

Keywords: $\Bbb R$-factorizable group, $\aleph _0$-bounded group, $P$-group, complete, Lindel\"of
AMS Subject Classification: Primary 54H11, 22A05; Secondary 54G10, 54D20, 54G20