Abstract
Let G to be a torsion free abelian group. In this paper we introduce the following concepts: Some interesting results about unital lattice groups and Riesz spaces with the chief link topology on them have been presented.
- (1)
Algebraic line, algebraic line segment and thin convex subsets of G.
- (2)
Absorbing topological group, that is a generalization of topological vector space.
- (3)
A special subset of a mass lattice group (G, \(\le \)) called a link in G which we can construct a locally solid topology on G by it.
Keywords
Lattice group Mass group Locally solid topology Retraction Link Absorbing topological groupMathematics Subject Classification
Primary: 22A10 06F20 46A40 57N17 Secondary: 54H12 22A26 54F05Notes
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