Topology Proceedings COMPACTIFICATIONS OF SEMIGROUPS AND SEMIGROUP ACTIONS

@inproceedings{Megrelishvili2008TopologyPC,
  title={Topology Proceedings COMPACTIFICATIONS OF SEMIGROUPS AND SEMIGROUP ACTIONS},
  author={Michael Megrelishvili},
  year={2008}
}
An action of a topological semigroup S on X is compactifiable if this action is a restriction of a jointly continuous action of S on a Hausdorff compact space Y . A topological semigroup S is compactifiable if the left action of S on itself is compactifiable. It is well known that every Hausdorff topological group is compactifiable. This result cannot be extended to the class of Tychonoff topological monoids. At the same time, several natural constructions lead to compactifiable semigroups and… CONTINUE READING

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