Exhaustivity in Topological Riesz Spaces with the Principal Projection Property
Volume 54 / 2006
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.
