Exhaustivity in Topological Riesz Spaces with the Principal Projection Property

Kimberly Muller. "Exhaustivity in Topological Riesz Spaces with the Principal Projection Property." Bulletin of the Polish Academy of Sciences. Mathematics 54.1 (2006): 53-62. <http://eudml.org/doc/280252>.

@article{KimberlyMuller2006,
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.},
author = {Kimberly Muller},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {uniform exhaustivity; continuity; principal projection property; Riesz space; locally solid topology},
language = {eng},
number = {1},
pages = {53-62},
title = {Exhaustivity in Topological Riesz Spaces with the Principal Projection Property},
url = {http://eudml.org/doc/280252},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Kimberly Muller
TI - Exhaustivity in Topological Riesz Spaces with the Principal Projection Property
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 1
SP - 53
EP - 62
AB - 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.
LA - eng
KW - uniform exhaustivity; continuity; principal projection property; Riesz space; locally solid topology
UR - http://eudml.org/doc/280252
ER -