On Countably Compact 0-Simple Topological Inverse Semigroups

By Oleg Gutik, Dušan D. Repovš. 2007

59 citations recorded by the source corpus.

We describe the structure of 0-simple countably compact topological inverse semigroups and the structure of congruence-free countably compact topological inverse semigroups.

Subfields: Geometry and Topology, Management Science and Operations Research, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c8ccc306412c14ba080ba7eab6cae6e0e358e7aa

How researchers see this paper

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1. Taras O. Banakh
2. Svetlana Dimitrova
3. Oleg Gutik

Citations in the corpus

• Embedding the bicyclic semigroup into countably compact topological semigroups (2008, background): “Also this example shows that the presence of an inversion is essential in a result of Gutik and Repovš [13] who proved that the bicyclic semigroup does not embed into a countably compact topological inverse semigroup.”