Every Čech-analytic Baire semitopological group is a topological group
Bouziad, Ahmed
HAL, hal-00373443 / Harvested from HAL
Text on HAL
This paper answers positively a question of Pfister by proving that every Čech-complete semitopological group (that is, a group with a separately continuous multiplication) is a topological group. In fact, a bit more is proved: every Čech-analytic Baire semitopological group is a topological group. The same result for locally compact groups is known as Ellis's theorem (1957).
Publié le : 1996-07-05
Classification:  Topological group,  semitopololgical group,  Ellis's theorem,  Cech-analytic space,  Cech-complete space,  separate continuity,  joint continuity,  22A20 ; 54H11,  [MATH.MATH-GN]Mathematics [math]/General Topology [math.GN] 
@article{hal-00373443,
     author = {Bouziad, Ahmed},
     title = {Every \v Cech-analytic Baire semitopological group is a topological group},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00373443}
}

Bouziad, Ahmed. Every Čech-analytic Baire semitopological group is a topological group. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00373443/