Upper and Lower Bounds in Relator Spaces

Száz, Árpád. "Upper and Lower Bounds in Relator Spaces." Serdica Mathematical Journal 29.3 (2003): 239-270. <http://eudml.org/doc/219615>.

@article{Száz2003,
abstract = {2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a nonvoid set X and a nonvoid family R of binary relations on X is called a relator space. Relator spaces are straightforward generalizations not only of uniform spaces, but also of ordered sets. Therefore, in a relator space we can naturally define not only some topological notions, but also some order theoretic ones. It turns out that these two, apparently quite different, types of notions are closely related to each other through complementations.The research of the author has been supported by the grant OTKA T-030082.},
author = {Száz, Árpád},
journal = {Serdica Mathematical Journal},
keywords = {Relational Systems; Interiors and Closures; Upper and Lower Bounds; Maxima and Minima; Relational systems; interiors and closures; upper and lower bounds; maxima and minima},
language = {eng},
number = {3},
pages = {239-270},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Upper and Lower Bounds in Relator Spaces},
url = {http://eudml.org/doc/219615},
volume = {29},
year = {2003},
}

TY - JOUR
AU - Száz, Árpád
TI - Upper and Lower Bounds in Relator Spaces
JO - Serdica Mathematical Journal
PY - 2003
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 29
IS - 3
SP - 239
EP - 270
AB - 2000 Mathematics Subject Classification: 06A06, 54E15An ordered pair X(R) = ( X, R ) consisting of a nonvoid set X and a nonvoid family R of binary relations on X is called a relator space. Relator spaces are straightforward generalizations not only of uniform spaces, but also of ordered sets. Therefore, in a relator space we can naturally define not only some topological notions, but also some order theoretic ones. It turns out that these two, apparently quite different, types of notions are closely related to each other through complementations.The research of the author has been supported by the grant OTKA T-030082.
LA - eng
KW - Relational Systems; Interiors and Closures; Upper and Lower Bounds; Maxima and Minima; Relational systems; interiors and closures; upper and lower bounds; maxima and minima
UR - http://eudml.org/doc/219615
ER -