On topological groups with weak minimality (maximality) condition for noncompact subgroups

1994 ◽  
Vol 46 (10) ◽  
pp. 1540-1544
Author(s):  
V. M. Poletskikh ◽  
S. S. Shestakov
2020 ◽  
Vol 9 (7) ◽  
pp. 4917-4922
Author(s):  
S. Sivakumar ◽  
D. Lohanayaki
Keyword(s):  

2008 ◽  
Vol 78 (1) ◽  
pp. 171-176 ◽  
Author(s):  
JANUSZ BRZDȨK

AbstractWe give some general results concerning continuity of measurable homomorphisms of topological groups. As a consequence we show that a Christensen measurable homomorphism of a Polish abelian group into a locally compact topological group is continuous. We also obtain similar results for the universally measurable homomorphisms and the homomorphisms that have the Baire property.


2003 ◽  
Vol 10 (2) ◽  
pp. 209-222
Author(s):  
I. Bakhia

Abstract Functions of dimension modulo a (rather wide) class of spaces are considered and the conditions are found, under which the dimension of the product of spaces modulo these classes is equal to zero. Based on these results, the sufficient conditions are established, under which spaces of free topological semigroups (in the sense of Marxen) and spaces of free topological groups (in the sense of Markov and Graev) are zero-dimensional modulo classes of compact spaces.


2007 ◽  
Vol 158 (13) ◽  
pp. 1504-1510 ◽  
Author(s):  
Hua-peng Zhang ◽  
Jin-xuan Fang
Keyword(s):  

2014 ◽  
Vol 165 ◽  
pp. 26-38 ◽  
Author(s):  
Mohammad Akbari tootkaboni ◽  
Zeinab Eslami

1989 ◽  
Vol 30 (1) ◽  
pp. 120-128 ◽  
Author(s):  
M. G. Tkachenko
Keyword(s):  

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