Kateryna Pavlyk

On a topological simple Warne extension of a semigroup

The Bruck-Reilly extension of a semigroup is a particular case of Warne extension of a semigroup. We extend these constructions on the case of a topological semigroup and study the problem of its topologizations. Also we give a topological characterization of some classes of bisimple topological inverse semigroups.