On the topological mass lattice groups.

Let G to be a torsion free abelian group. In this paper we introduce the following concepts: Algebraic line, algebraic line segment and thin convex subsets of G. Absorbing topological group, that is a generalization of topological vector space. A special subset of a mass lattice group (G, ≤ ) called a link in G which we can construct a locally solid topology on G by it. Some interesting results about unital lattice groups and Riesz spaces with the chief link topology on them have been presented. [ABSTRACT FROM AUTHOR]