Embedding the bicyclic semigroup into countably compact topological semigroups
نویسندگان
چکیده
منابع مشابه
Embedding the Bicyclic Semigroup into Countably Compact Topological Semigroups
We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p, q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p, q). On the other hand, we construct a consistent example of a Tychonov countably compact semigroup containing a copy of C(p, q). In this paper we study the structural prope...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2010
ISSN: 0166-8641
DOI: 10.1016/j.topol.2010.08.020