Volume 35 • Number 2 • 2012   • On Topological Congruences of a Topological Semigroup Behnam Khosravi Abstract. We continue the study of the topological Rees congruences on a topological semigroup. First, we give some necessary and sufficient conditions for the question "when the quotient space of $S$ over one of its ideal $I$ is a $k_\omega$-space?", then we use it to generalize the Rees version of Lawson and Madison's well-known theorem about topological congruences on $S$. 2010 Mathematics Subject Classification: 22A15, 54D50. Full text: PDF