Triple

T34585587
Position Surface form Disambiguated ID Type / Status
Subject JSJ decomposition E888035 entity
Predicate instanceOf P0 FINISHED
Object 3-manifold decomposition C44532 CONCEPT FINISHED

How this triple was built (1 step)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

CD Concept disambiguation gpt-5-mini-2025-08-07
Target class: 3-manifold decomposition
Context triple: [JSJ decomposition, instanceOf, 3-manifold decomposition]
  • A. 3-manifold invariant
    A 3-manifold invariant is a quantity or structure assigned to a 3-dimensional manifold that remains unchanged under homeomorphisms or diffeomorphisms, used to distinguish and classify such manifolds.
  • B. Laurent polynomial-valued invariant
    A Laurent polynomial-valued invariant is a quantity assigned to mathematical objects (such as knots, links, or manifolds) that remains unchanged under specified transformations and takes the form of a Laurent polynomial in one or more variables.
  • C. result in low-dimensional topology
    A result in low-dimensional topology is a theorem or proposition that characterizes the structure, classification, or properties of topological spaces and manifolds of dimension four or less.
  • D. work in geometric topology chosen
    Work in geometric topology studies the properties and structures of spaces that are preserved under continuous deformations, focusing on the interplay between geometry and topology in shapes and manifolds.
  • E. self-homeomorphism of a surface
    A self-homeomorphism of a surface is a continuous bijection from the surface to itself with a continuous inverse, preserving its topological structure.
  • F. None of above.

Provenance (1 batch)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69f349d25cbc8190869998de5915886b completed April 30, 2026, 12:23 p.m.
Created at: May 1, 2026, 2:03 a.m.