A convenient category of topological partial groups

Author

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