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 Übersetzung für 'Zariski topology' von Englisch nach Deutsch
NOUN   Zariski topology | -
math.
Zariski topology
Zariski-Topologie {f}
Teiltreffer
topologyräumliche Struktur {f}
topologyTopologie {f}
58
comp.
topology
Netzstruktur {f}
109
math.
finer topology
feinere Topologie {f}
math.
Mackey topology
Mackey-Topologie {f}
math.
projective topology
projektive Topologie {f}
math.
weak topology
schwache Topologie {f}
math.
initial topology
Initialtopologie {f}
math.
subspace topology
Spurtopologie {f}
comp.tech.
topology diagram
Topologiediagramm {f}
math.
product topology
Produkttopologie {f}
math.
discrete topology
diskrete Topologie {f}
math.
symmetric topology
symmetrische Topologie {f}
math.
indiscrete topology
indiskrete Topologie {f}
math.
topology optimization
Topologieoptimierung {f}
math.
trivial topology
Klumpentopologie {f} [triviale Topologie]
comp.
topology scan
Topologiescan {m} [selten {n}] [auch: Topologie-Scan]
math.
chaotic topology
chaotische Topologie {f}
math.
coarser topology
gröbere Topologie {f}
math.
Krull topology
Krulltopologie {f}
21 Übersetzungen
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Anwendungsbeispiele Englisch
  • In contrast, non-preregular spaces are encountered much more frequently in abstract algebra and algebraic geometry, in particular as the Zariski topology on an algebraic variety or the spectrum of a ring.
  • is often equipped with a Zariski topology. Again we also by convention require this locally ringed space to be irreducible.
  • The étale topology is finer than the Zariski topology.
  • The Zariski topology on the spectrum of a ring has a base consisting of open sets that have specific useful properties.
  • It follows readily from the definition of the spectrum of a ring Spec("R"), the space of prime ideals of "R" equipped with the Zariski topology, that the Krull dimension of "R" is equal to the dimension of its spectrum as a topological space, meaning the supremum of the lengths of all chains of irreducible closed subsets.

  • This topology is called the Zariski topology.
  • This is finer than the Zariski topology.
  • As another example, an algebraic subset "W" in "K'n" is irreducible (in the Zariski topology) if and only if [...] is a prime ideal.
  • Since the Zariski topology on an algebraic variety or scheme "X" is much coarser than, say, the topology of open subsets in [...] it is no longer meaningful to consider continuous maps from an interval to "X".
  • The closure on [...] is the closure in the Zariski topology, and if the field [...] is algebraically closed, then the closure on the polynomial ring is the radical of ideal generated by [...].

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