Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658298 | Topology and its Applications | 2015 | 17 Pages |
Abstract
We prove that if Bi is a bounded subset of a totally Ï-narrow paratopological group Gi, where iâI, then âiâIBi is bounded in âiâIGi. The same conclusion remains valid in the case of products of bounded subsets of Hausdorff commutative paratopological groups with countable Hausdorff number or products of Lindelöf paratopological groups. In fact, we show that if B is a bounded subset of a paratopological group G satisfying one of the conditions (a)-(d) below, then B is strongly bounded in G:
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Iván Sánchez, Mikhail G. Tkachenko,