scholarly journals Metric topological groups: their metric approximation and metric ultraproducts

2018 ◽  
Vol 12 (2) ◽  
pp. 615-636
Author(s):  
Michal Doucha
Keyword(s):  
Topological Groups ◽  
Metric Approximation

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.

scholarly journals Coarse metric approximation

2016 ◽  
Vol 202 ◽  
pp. 194-204 ◽  
Author(s):  
Kyle Austin ◽  
Žiga Virk
Keyword(s):  
Metric Approximation

-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

Pseudocompact topological groups and their properties

1989 ◽  
Vol 30 (1) ◽  
pp. 120-128 ◽  
Author(s):  
M. G. Tkachenko
Keyword(s):  
Topological Groups
Sign in / Sign up

Export Citation Format

Share Document