35 research outputs found
On a complete topological inverse polycyclic monoid
We give sufficient conditions when a topological inverse -polycyclic
monoid is absolutely -closed in the class of topological
inverse semigroups. Also, for every infinite cardinal we construct
the coarsest semigroup inverse topology on and give an
example of a topological inverse monoid S which contains the polycyclic monoid
as a dense discrete subsemigroup.Comment: 10 page