Directed Set
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In mathematics, a directed set is a nonempty set A together with a reflexive and transitive binary relation , with the additional property that every pair of elements has an upper bound.Directed sets are a generalization of nonempty totally ordered sets, that is, all totally ordered sets are directed sets. In topology, directed sets are used to define nets, which generalize sequences and unite the various notions of limit used in analysis. Directed sets also give rise to direct limits in abstract algebra and category theory.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130711764
- Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
- EAN 9786130711764
- Format Fachbuch
- Titel Directed Set
- Herausgeber Alphascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
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