Positivity

, Volume 7, Issue 1–2, pp 33–40 | Cite as

On Regular Riesz Subspaces

  • Witold Wnuk
Article

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.

regular Riesz subspace σ-regular Riesz subspace locally solid Riesz spaces countable sup property Lebesgue property 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Witold Wnuk
    • 1
  1. 1.Faculty of Mathematics and Computer ScienceA. Mackiewicz UniversityPoznańPoland

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