A convenient category of topological partial groups | ||
| Journal of the Egyptian Mathematical Society | ||
| Article 8, Volume 27, Issue 1, 2019, Pages 1-11 PDF (601.11 K) | ||
| DOI: 10.1186/s42787-019-0010-4 | ||
| Author | ||
| A. Fathy | ||
| Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt | ||
| Abstract | ||
| In this paper, the concept of ℘-continuous map is introduced and some of their basic properties are discussed. Also, the category K´, of topological partial groups, as objects and the ℘-morphisms of topological partial groups, as arrows, is introduced, which is alternative to the category K, of topological spaces, as objects and k-continuous maps, as arrows, and satisfies the same nice properties of the category kpg, of k-partial groups, as objects, and the morphisms of k-partial groups, as arrows (Abd- Allah et al., J. Egyption Math. Soc 25:276-278, 2017). | ||
| Keywords | ||
| Partial group; Partial group homomorphism; Topological group; Topological partial group; k-partial group | ||
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