Title of article :
The free topological group on the Sorgenfrey line is not -factorizable
Author/Authors :
Reznichenko، نويسنده , , Evgenii and Sipacheva، نويسنده , , Ol?ga، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2013
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 :
Free linear Boolean group , Non- R -factorizable separable group , R -factorizable group , Sorgenfrey Line
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
