Topological Groups of Bounded Homomorphisms on a Topological Group

2015/01/17 by Kocinac, Ljubisa D. R., Zabeti, Omid
#22A05 #54H11 #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1501.04923

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.

Related

• Bounded Topological Groups
• A few remarks on bounded homomorphisms acting on topological lattice\n groups and topological rings
• Topological Modules of Bounded Bigroup Homomorphisms on a Topological\n Module
• A few remarks on boundedness in topological modules and topological\n groups
• Uniformly locally bounded spaces and the group of automorphisms of a topological group