Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1710

 Title: Upper and Lower Bounds in Relator Spaces Authors: Száz, Árpád Keywords: Relational SystemsInteriors and ClosuresUpper and Lower BoundsMaxima 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 URI: http://hdl.handle.net/10525/1710 ISSN: 1310-6600 Appears in Collections: Volume 29 Number 3

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