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On the topological mass lattice groups

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A Correction to this article was published on 08 May 2020

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Abstract

Let G to be a torsion free abelian group. In this paper we introduce the following concepts:

  1. (1)

    Algebraic line, algebraic line segment and thin convex subsets of G.

  2. (2)

    Absorbing topological group, that is a generalization of topological vector space.

  3. (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.

Some interesting results about unital lattice groups and Riesz spaces with the chief link topology on them have been presented.

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Change history

  • 08 May 2020

    (i) In the first assertion of the Lemma 1 in [2], it is necessary that .

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Qom, Qom, Iran

    M. Pourgholamhossein & M. A. Ranjbar

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  1. M. Pourgholamhossein
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  2. M. A. Ranjbar
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Correspondence to M. Pourgholamhossein.

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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

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  • DOI: https://doi.org/10.1007/s11117-018-0639-5

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