Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659009 | Topology and its Applications | 2013 | 4 Pages |
Abstract
It is proved that the free, the free Abelian, the free Boolean, and the free linear Boolean topological group on the Sorgenfrey line is not R-factorizable. Thereby, an example of a separable topological group which is not R-factorizable is constructed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Evgenii Reznichenko, Olʼga Sipacheva,