V. V. Mukhin, E. E. Filipova, “On continuation of a topology from a system of generators of a group to a topology on the group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, Number 6,Pages <nobr>37

This article is cited in 1 paper

On continuation of a topology from a system of generators of a group to a topology on the group

V. V. Mukhin^a, E. E. Filipova^b

^a Chair of Applied Mathematics, Cherepovets State University, Cherepovets, Russia
^b Chair of Computer Science and Mathematics, Vologda Institute of Law and Economics, Vologda, Russia

Abstract: In this paper we establish conditions under which a topology is continued from a subset of a group to a topology on the group coordinated with the group operation.

Keywords: topological group, topological embedding, $n$-semigroup.

UDC: 512.546.3

Received: 14.02.2007