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, \(\le \)) 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.
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Pourgholamhossein, M., Ranjbar, M.A. On the topological mass lattice groups. Positivity 23, 811–827 (2019). https://doi.org/10.1007/s11117-018-0639-5
- Lattice group
- Mass group
- Locally solid topology
- Absorbing topological group
Mathematics Subject Classification
- Primary: 22A10
- Secondary: 54H12