Topological lattice-ordered groups

Richard Neal Ball

Vol. 83 (1979), No. 1, 1–26

DOI: 10.2140/pjm.1979.83.1

Abstract

Several types of hulls and completions of lattice ordered groups have been obtained by algebraic methods. In this paper is laid some groundwork for the application of topological and uniform-space concepts to the same end by setting forth those links—topological, algebraic and semantic— between a topological lattice ordered group H and a topologically dense l-subgroup G.

Mathematical Subject Classification 2000

Primary: 06F15

Secondary: 06F30, 22A26

Milestones

Received: 3 February 1978

Revised: 20 October 1978

Published: 1 July 1979