compactifications and representations of transformation semigroups
compactifications and representations of transformation semigroups
Abstract
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is investigated the inclusion relations between function spaces defined on transformation semigruops.