Topological Groups of Bounded Homomorphisms on a Topological Group
General Topology
2015-08-25 v3 Group Theory
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.
Keywords
Cite
@article{arxiv.1501.04923,
title = {Topological Groups of Bounded Homomorphisms on a Topological Group},
author = {Ljubisa D. R. Kocinac and Omid Zabeti},
journal= {arXiv preprint arXiv:1501.04923},
year = {2015}
}
Comments
8 pages