Category of $H$-groups

Document Type: Research articles


1 Golestan University

2 Department of Pure Mathematics Ferdowsi University of Mashhad

3 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.