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Zbl 0934.22009
González, Genaro
Locally generated semigroups. (English)
[J] Divulg. Mat. 4, No.1-2, 5-20 (1996). ISSN 1315-2068

We quote directly from the author's abstract: ``For a topological semigroup $S$, Lawson constructed a semigroup $\Gamma (S)$ with the property that any local homomorphism defined in a neighborhood of the identity of $S$ to a topological semigroup $T$ extends uniquely to a global homomorphism defined on $\Gamma (S)$. In this work we obtain conditions on $S$ to topologize the semigroup $\Gamma (S)$ via a uniformity such that the extended homomorphism is continuous and such that $\Gamma (S)$ is a topological semigroup''.
[John A.Hildebrant (Baton Rouge)]

MSC 2000:: *22A15 Structure of topological semigroups

Keywords: causal path; causal homotopy; topological semigroup; locally right divisible; locally causally path connected; locally causally simply connected

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