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.
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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.
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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.