3 papers
math.GN2008
Openly factorizable spaces and compact extensions of topological semigroups
Taras Banakh, Svetlana Dimitrova
We prove that the semigroup operation of a topological semigroup extends to a continuous semigroup operation on its the Stone-Čech compactification provided is a pseud…
math.GN2008
Embedding the bicyclic semigroup into countably compact topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudoco…
math.GN2008
The Rees-Suschkewitsch Theorem for simple topological semigroups
Taras Banakh, Svetlana Dimitrova, Oleg Gutik
We detect topological semigroups that are topological paragroups, i.e., are isomorphic to a Rees product of a topological group over topological spaces with a continuous sandwich f…