An embedding theorem for uniform measures on topological groups
Group Theory
2023-06-06 v4 General Topology
Abstract
The embedding theorem of Roelcke and Dierolf for the completions of four standard uniform structures on topological groups and their quotients holds more generally for spaces of uniform measures. The natural mappings between the four spaces of uniform measures on a topological group are injective and their restrictions to positive cones are topological embeddings. The same holds for spaces of uniform measures on the quotient of a topological group by a neutral subgroup.
Cite
@article{arxiv.2207.01956,
title = {An embedding theorem for uniform measures on topological groups},
author = {Jan Pachl},
journal= {arXiv preprint arXiv:2207.01956},
year = {2023}
}
Comments
12 pages; V2 and V3: corrected typos; V4: new section 6