Exhaustivity in Topological Riesz Spaces with the Principal Projection Property
Kimberly Muller
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 53-62 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280252 
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     author = {Kimberly Muller},
     title = {Exhaustivity in Topological Riesz Spaces with the Principal Projection Property},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
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     language = {en},
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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) pp. 53-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-1-5/