Triple

T14314100
Position Surface form Disambiguated ID Type / Status
Subject Bernstein set E354908 entity
Predicate definedOn P4464 FINISHED
Object Cantor space
Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
E160400 NE FINISHED

Disambiguation candidates (2 decisions)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cantor space
Context triple: [Bernstein set, definedOn, Cantor space]
  • A. Cantor set
    The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
  • B. Baire space
    Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
  • C. Sierpiński space
    The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
  • D. Tychonoff space
    A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
  • E. Stone–Čech compactification
    The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Cantor space
Target entity description: Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
  • A. Cantor set chosen
    The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
  • B. Baire space
    Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
  • C. Sierpiński space
    The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
  • D. Tychonoff space
    A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
  • E. Stone–Čech compactification
    The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
  • F. None of above.

Provenance (5 batches)

Stage Batch ID Job type Status
creating batch_69d8278ed42c8190b9f882dcce611347 elicitation completed
NER batch_69de85b49e5481909b9ffab2d922e284 ner completed
NED1 batch_69fd4687c6bc819088452892128c420e ned_source_triple completed
NED2 batch_69fd4879b2688190ac208545ae226c93 ned_description completed
NEDg batch_69fd47e2b8d481909ed8274a96615b36 nedg completed
Created at: April 10, 2026, 1:12 a.m.