Triple

T11214926
Position Surface form Disambiguated ID Type / Status
Subject Dehn surgery E265411 entity
Predicate relatedTheorem P49212 FINISHED
Object Thurston hyperbolic Dehn surgery theorem E898489 NE FINISHED

Disambiguation candidates (1 decision)

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: Thurston hyperbolic Dehn surgery theorem
Context triple: [Dehn surgery, relatedTheorem, Thurston hyperbolic Dehn surgery theorem]
  • A. Thurston hyperbolization theorem chosen
    The Thurston hyperbolization theorem is a fundamental result in 3-manifold topology that characterizes when certain 3-manifolds admit complete hyperbolic structures, forming a cornerstone of Thurston’s geometrization program.
  • B. Dehn surgery
    Dehn surgery is a fundamental operation in 3-manifold topology that modifies a 3-dimensional manifold by cutting out a solid torus and gluing it back in a different way, playing a central role in the classification and study of 3-manifolds.
  • C. Dehn lemma
    The Dehn lemma is a fundamental result in 3-manifold topology that gives conditions under which a loop on the boundary of a 3-manifold bounds an embedded disk in the manifold.
  • D. Hyperbolic Manifolds and Discrete Groups
    "Hyperbolic Manifolds and Discrete Groups" is a foundational mathematical monograph that develops the theory of hyperbolic geometry and its deep connections with discrete group actions and low-dimensional topology.
  • E. Foliations of Three-Manifolds Which Are Circle Bundles
    "Foliations of Three-Manifolds Which Are Circle Bundles" is William Thurston’s influential 1972 doctoral dissertation in geometric topology, where he developed foundational ideas about the structure and classification of foliations on 3-manifolds.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69d6aac59460819089b9848b27f57848 elicitation completed
NER batch_69d7e8e8eef48190932a85784ce15c86 ner completed
NED1 batch_69e49762e3188190ba3c0e01cf04f6a1 ned_source_triple completed
Created at: April 8, 2026, 9:30 p.m.