Topological Groups of Bounded Homomorphisms on a Topological Group
classification
🧮 math.GN
math.GR
keywords
homomorphismstopologicalgroupboundedclasscompleteappropriateclasses
read the original abstract
We consider a few types of bounded homomorphisms on a topological group. These classes of bounded homomorphisms are, in a sense, weaker than the class of continuous homomorphisms. We show that with appropriate topologies each class of these homomorphisms on a complete topological group forms a complete topological group.
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