Oleg Gutik: Around the bicyclic monoid: topological and semigroup views

Wednesday, April 1, 2015 17:15

Room: D1-215

Speaker:
Oleg Gutik

Title: Around the bicyclic monoid: topological and semigroup views

Abstract. We discuss algebraic and topological properties of (semitopological and topological) semigroups which are close to the bicyclic monoid: the semigroup of matrix units, the semigroup of co-finite partial bijections and the polycyclic monoid. We speak about topologizations of such semigroups as topological or semitopological semigroups, their embeddings into compact-like topological semigroups and their closures in topological semigroups.