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Scientific Seminar:
Topological Algebra

Speaker: 
Serhii Bardyla (Kurt Gödel Research Center, University of Vienna)

Talk: 
Shiftinvariant filters on the bicyclic monoid 
When & where:  December 16, 2020, at 15^{05 } in ZOOM^{ } 
Abstract: 
We will discuss different kinds of filters on the bicyclic monoid $\mathcal C$ and the corresponding topologies on $\mathcal C^0$. Our results provide a powerful method of constructing inverse semigroup topologies on $\mathcal C^0$. We describe the finest nondiscrete inverse semigroup topology on $\mathcal C^0$. Also, we show that there exists a wellordered chain of inverse semigroup topologies on $\mathcal C^0$ of length $\mathfrak b$. 