scholarly journals Existence of group nonexpansive retractions and ergodic theorems in topological groups

2021 ◽  
Vol 22 (2) ◽  
pp. 455-464
Author(s):  
Ravi Agarwal ◽  
◽  
Donal O'Regan ◽  
Ebrahim Soori ◽  
◽  
...  
Keyword(s):  
Ergodic Theorems ◽  
Topological Groups

SOME PROPERTIES OF G-SPACES ACTED WITH TOPOLOGICAL GROUPS

2020 ◽  
Vol 9 (7) ◽  
pp. 4917-4922
Author(s):  
S. Sivakumar ◽  
D. Lohanayaki
Keyword(s):  
Topological Groups

scholarly journals CONTINUITY OF MEASURABLE HOMOMORPHISMS

2008 ◽  
Vol 78 (1) ◽  
pp. 171-176 ◽  
Author(s):  
JANUSZ BRZDȨK
Keyword(s):  
Topological Group ◽  
Abelian Group ◽  
Baire Property ◽  
Topological Groups ◽  
Locally Compact ◽  
Compact Topological Group ◽  
Locally Compact Topological Group

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.

On the Dimension Modulo Classes of Topological Spaces and Free Topological Groups

2003 ◽  
Vol 10 (2) ◽  
pp. 209-222
Author(s):  
I. Bakhia
Keyword(s):  
Wide Class ◽  
Sufficient Conditions ◽  
Topological Spaces ◽  
Topological Groups ◽  
Compact Spaces ◽  
Topological Semigroups

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.

-topological groups and its level L-topological groups

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

scholarly journals Density in locally compact topological groups

2014 ◽  
Vol 165 ◽  
pp. 26-38 ◽  
Author(s):  
Mohammad Akbari tootkaboni ◽  
Zeinab Eslami
Keyword(s):  
Topological Groups ◽  
Locally Compact ◽  
Locally Compact Topological Groups
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