On Regular Riesz Subspaces
- Cite this article as:
- Wnuk, W. Positivity (2003) 7: 33. doi:10.1023/A:1025822728628
- 56 Downloads
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.