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Monoid and Topological Groupoid
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<p>Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid <span lang="EN-US">&#960;</span><span lang="EN-US"><sub></span>1</sub>(X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.</p>
Informatics Publishing Limited
Title: Monoid and Topological Groupoid
Description:
<p>Here we introduce some new results which are relative to the concept of topological monoid-groupoid and prove that the category of topological monoid coverings of X is equivalent to the category covering groupoids of the monoid-groupoid <span lang="EN-US">&#960;</span><span lang="EN-US"><sub></span>1</sub>(X).
Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.
</p>.
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