Abstract
It is shown in this paper that a part of the structure theory of locally compact abelian groups, which does not explicitly involve compactness, still fails to apply to complete separable metric abelian groups. Specifically, Theorem 2 asserts that any countable abelian group may be discretely imbedded in a metrizable abelian group with a dense cyclic subgroup. This result is independent of the rest of the paper.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
