Geodesic
Exhaustivity in Topological Riesz Spaces with the Principal Projection Property
Kimberly Muller1
1Department of Mathematics Lake Superior State University Sault Sainte Marie, MI 49783, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 1, pp. 53-62
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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.
DOI : 10.4064/ba54-1-5
Keywords: exhaustive uniformly exhaustive elements studied setting locally solid topological riesz spaces principal projection property study structure order interval exhaustive element structure solid hull set uniformly exhaustive elements

Kimberly Muller  1

1 Department of Mathematics Lake Superior State University Sault Sainte Marie, MI 49783, U.S.A. 
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Spaces with the Principal Projection Property
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Kimberly Muller. Exhaustivity in Topological Riesz 
Spaces with the Principal Projection Property. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 1, pp. 53-62. doi: 10.4064/ba54-1-5

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