A note on topological semigroup-groupoid
Abstract
In this paper we prove that the set of homotopy classes of paths in topological semigroup is a semigroup-groupoid. Further, we define the category TSGCov/X of topological semigroup coverings of X and prove that its equivalent to the category SGpGpdCov/of covering groupoids of the semigroup-groupoid . We also prove that the topological semigroup structure of a topological semigroup-groupoid lifts to a universal topological covering groupoid.
- Published
- 2 July 2013
- Volume
- 2013 (2013)
- License
- CC BY 3.0
Copyright © 2013 Mohammad Qasim Mann'a. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Q. Mann'a, A note on topological semigroup-groupoid, J. Semigroup Theory Appl. 2013 (2013), 4.
BibTeX
@article{Mann'a2013,
author = {Mann'a, Mohammad Qasim},
title = {A note on topological semigroup-groupoid},
journal = {J. Semigroup Theory Appl.},
volume = {2013},
year = {2013},
pages = {4},
doi = {}
}