Vol. 83, No. 1, 1979

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Topological lattice-ordered groups

Richard Neal Ball

Vol. 83 (1979), No. 1, 1–26
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
Authors
Richard Neal Ball