ON THE CATEGORY OF ORDERED SETS

ON THE CATEGORY OF ORDERED SETS

In this paper the category of ordered sets and isotone maps is considered as well as presheaves and sheaves of such sets. Also, some classes of ordered topological spaces are considered as the class of A-ordered, S- and strongly S-ordered topological spaces and the class of 0i-topological spaces for...

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Veröffentlicht in:Zbornik radova Filozofskog fakulteta u Nišu. Serija Matematika 1988-01, Vol.2, p.9-14
1. Verfasser: Ćirić, Dušan M.
Format: Artikel
Sprache:eng
Schlagworte:
Morphisms
Topological spaces
Topological theorems
Topology
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Zusammenfassung:In this paper the category of ordered sets and isotone maps is considered as well as presheaves and sheaves of such sets. Also, some classes of ordered topological spaces are considered as the class of A-ordered, S- and strongly S-ordered topological spaces and the class of 0i-topological spaces for i = 0,1,2. (see [1] and [6]) U radu se proučava kategorija uredenih skupova i izotonih preslikavanja. Proučavaju se takode predpramenovi i pramenovi takvih skupova. Posmatraju se i neke klase uredenih topoloških prostora, kao što su A-uredeni, S-uredeni, strogo S-uredeni topološki prostori kao i 0i-uredeni topološki prostori za i 0 0,1,2. U radu se proučava kategorija uredenih skupova i izotonih preslikavanja. Proučavaju se takode predpramenovi i pramenovi takvih skupova. Posmatraju se i neke klase uredenih topoloških prostora, kao što su A-uredeni, S-uredeni, strogo S-uredeni topološki prostori kao i Oi-uredeni topološki prostori za i 0 0,1,2.
ISSN:0353-1325