Topological semigroups of matrix units and countably compact Brandt ${\lambda }^0$-extensions of topological semigroups

Oleg Gutik, Kateryna Pavlyk, Andriy Reiter

We show that a topological semigroup of finite partial bijections ${\mathcal{I}}_{\lambda }^n$ of an infinite set with a compact subsemigroup of idempotents is absolutely $H$-closed and any c…