Displaying similar documents to “Submeasures and Locally Solid Topologies on Riesz Spaces.”

Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Kimberly Muller (2006)

Bulletin of the Polish Academy of Sciences. Mathematics

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Exhaustive and uniformly exhaustive elements are studied in the setting of locally solid topological Riesz spaces with the principal projection property. We study the structure of the order interval [0,x] when x is an exhaustive element and the structure of the solid hull of a set of uniformly exhaustive elements.