Metrizable groups and strict o-boundedness

Liljana Babinkostova

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We show that for metrizable topological groups being a strictly o-bounded group is equivalent to being a Hurewicz group. In [5] Hernandez, Robbie and Tkachenko ask if there are strictly o-bounded groups G and H for which G x H is not strictly o-bounded. We show that for metrizable strictly o-bounded groups the answer is no. In the same paper the authors also ask if the product of an o-bounded group with a strictly o-bounded group is again an o-bounded group. We show that if the strictly o-bounded group is metrizable, then the answer is yes.

Original languageEnglish
Pages (from-to)131-138
Number of pages8
JournalMatematicki Vesnik
Volume58
Issue number3-4
StatePublished - 2006

Keywords

  • Metrizable topological group
  • Product groups
  • Strict o-boundedness

Fingerprint

Dive into the research topics of 'Metrizable groups and strict o-boundedness'. Together they form a unique fingerprint.

Cite this