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 language | English |
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Pages (from-to) | 131-138 |
Number of pages | 8 |
Journal | Matematicki Vesnik |
Volume | 58 |
Issue number | 3-4 |
State | Published - 2006 |
Keywords
- Metrizable topological group
- Product groups
- Strict o-boundedness