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On Regular Riesz Subspaces

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Abstract

The paper is devoted to investigations of properties of regular Riesz subspaces and connections between regularity and some topological properties. The problem if a topological closure preserves regularity is solved in the class of discrete Riesz spaces. We also characterize Dedekind complete Riesz spaces possessing the same classes of σ-regular and regular Riesz subspaces Moreover, various examples of regular and non regular Riesz spaces are presented.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, A. Mackiewicz University, Umultowska 87, Poznań, Poland

    Witold Wnuk

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  1. Witold Wnuk
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Wnuk, W. On Regular Riesz Subspaces. Positivity 7, 33–40 (2003). https://doi.org/10.1023/A:1025822728628

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  • DOI: https://doi.org/10.1023/A:1025822728628

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