Geodesic
Exhaustivity in Topological Riesz Spaces with the Principal Projection Property
Kimberly Muller1
1 Department 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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. 
@article{10_4064_ba54_1_5,
     author = {Kimberly Muller},
     title = {Exhaustivity in {Topological} {Riesz} {
Spaces} with the {Principal} {Projection} {Property}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2006},
     doi = {10.4064/ba54-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba54-1-5/}
}
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
SP  - 53
EP  - 62
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba54-1-5/
DO  - 10.4064/ba54-1-5
LA  - en
ID  - 10_4064_ba54_1_5
ER  - 
%0 Journal Article
%A Kimberly Muller
%T Exhaustivity in Topological Riesz 
Spaces with the Principal Projection Property
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2006
%P 53-62
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba54-1-5/
%R 10.4064/ba54-1-5
%G en
%F 10_4064_ba54_1_5
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

Cité par Sources :