# 2013 seminar talk: Topological semigroups: embeddings and Čech-Stone compactifications

Talk held by Oleg Gutik (Ivan Franko National University of Lviv, Ukraine) at the KGRC seminar on 2013-12-12.

### Abstract

The problem of an embedding of some (topological) semigroups into compact-like topological semigroups will be discussed. Also, we shall give the sufficient conditions on a (semi-)topological semigroup $S$ under which the Čech-Stone compactification $\beta S$ preserves algebraic and topological properties of $S$.