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Directed Set: Directed set, Mathematics, Reflexive relation, Binary relation, Preorder, Upper and lower bounds, Partially ordered set, Topology, Net (mathematics), Sequence, Limit (mathematics) -

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2026-03-16
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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 ... Visas aprašymas

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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.

Daugiau informacijos

Leidėjas OmniScriptum
Išleidimo metai 2026
Viršelio tipas Minkšti viršeliai
EAN 9786130711764
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Jūs peržiūrėjote: Directed Set: Directed set, Mathematics, Reflexive relation, Binary relation, Preorder, Upper and lower bounds, Partially ordered set, Topology, Net (mathematics), Sequence, Limit (mathematics)
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125,22 € 166,96 €