Geodesic
Complete $\aleph_0$-bounded groups need not be $\Bbb R$-factorizable
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 551-559

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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 Lindelöf.
Classification : 22A05, 54D20, 54G10, 54G20, 54H11
Keywords: $\Bbb R$-factorizable group; $\aleph_0$-bounded group; $P$-group; complete; Lindelöf 
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     title = {Complete $\aleph_0$-bounded groups need not be $\Bbb R$-factorizable},
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     zbl = {1053.54045},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a13/}
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Tkachenko, M. G. Complete $\aleph_0$-bounded groups need not be $\Bbb R$-factorizable. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 3, pp. 551-559. http://geodesic.mathdoc.fr/item/CMUC_2001__42_3_a13/