Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Volume 54 / 2006

Kimberly Muller Bulletin Polish Acad. Sci. Math. 54 (2006), 53-62 MSC: 46A40, 46B20, 46B42. DOI: 10.4064/ba54-1-5

Abstract

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.

Authors

  • Kimberly MullerDepartment of Mathematics
    Lake Superior State University
    Sault Sainte Marie, MI 49783, U.S.A.
    e-mail

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