Embedding the bicyclic semigroup into countably compact topological semigroups - Mathematics > General TopologyReport as inadecuate




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Abstract: We study algebraic and topological properties of topological semigroupscontaining a copy of the bicyclic semigroup Cp,q. We prove that eachtopological semigroup S with pseudocompact square contains no dense copy ofCp,q. On the other hand, we construct a consistent example of apseudocompact countably compact Tychonov semigroup containing a copy ofCp,q.



Author: Taras Banakh, Svetlana Dimitrova, Oleg Gutik

Source: https://arxiv.org/







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