A Note in the Topological Groups
Keywords:Topological Group, Bounded Topological Groups, Group
In this note, for a topological group , we introduce a new concept as bounded topological group, that is, Â is called bounded, if for every neighborhood Â of identity element of , there is a natural number Â such that . We study some properties of this new concept and its relationships with other topological properties of topological groups.
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