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Monoid and Topological Groupoid


Affiliations
1 Math Department, College of Science, Qassim University, P.O. Box: 6644-Buraidah: 51452, Saudi Arabia
     

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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 π1(X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.

Keywords

Fundamental Groupoid, Covering Groupoids, Topological Groupoid, Topological Semigroup and Monoid.
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  • Monoid and Topological Groupoid

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Authors

Mohammad Qasim Mann'a
Math Department, College of Science, Qassim University, P.O. Box: 6644-Buraidah: 51452, Saudi Arabia

Abstract


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 π1(X). Also, it is shown that the monoid structure of monoid-groupoid lifts to a universal covering groupoid.

Keywords


Fundamental Groupoid, Covering Groupoids, Topological Groupoid, Topological Semigroup and Monoid.

References