# Upper and Lower Bounds in Relator Spaces

Serdica Mathematical Journal (2003)

- Volume: 29, Issue: 3, page 239-270
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topSzáz, 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 -

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.