Document Type: Research articles
Department of Pure Mathematics Ferdowsi University of Mashhad
Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
This paper develops a basic theory of $H$-groups. We introduce a special quotient of $H$-groups and extend some algebraic constructions of topological groups to the category of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups.