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Title: Upper and Lower Bounds in Relator Spaces
Authors: Száz, Árpád
Keywords: Relational Systems
Interiors and Closures
Upper and Lower Bounds
Maxima and Minima
Issue Date: 2003
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 29, No 3, (2003), 239p-270p
Abstract: An 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.
Description: 2000 Mathematics Subject Classification: 06A06, 54E15
ISSN: 1310-6600
Appears in Collections:Volume 29 Number 3

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