Geodesic
Normality in Free Topological Groups
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 265-272

Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that, under the assumption of the continuum hypothesis, the normality of all finite powers of a topological space does not imply the normality of its free topological group.
Keywords: free topological group, normal space, strongly collectionwise normal space, countably compact space, pseudocompact space, inductive limit, HFD-set. 
@article{MZM_2018_104_2_a9,
     author = {O. I. Pavlov},
     title = {Normality in {Free} {Topological} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {265--272},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a9/}
}
TY  - JOUR
AU  - O. I. Pavlov
TI  - Normality in Free Topological Groups
JO  - Matematičeskie zametki
PY  - 2018
SP  - 265
EP  - 272
VL  - 104
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a9/
LA  - ru
ID  - MZM_2018_104_2_a9
ER  - 
%0 Journal Article
%A O. I. Pavlov
%T Normality in Free Topological Groups
%J Matematičeskie zametki
%D 2018
%P 265-272
%V 104
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a9/
%G ru
%F MZM_2018_104_2_a9
O. I. Pavlov. Normality in Free Topological Groups. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 265-272. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a9/