Triple

T36870494
Position Surface form Disambiguated ID Type / Status
Subject 4-sphere S^4 E911210 entity
Predicate instanceOf P0 FINISHED
Object homology sphere C63225 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: homology sphere
Context triple: [4-sphere S^4, instanceOf, homology sphere]
  • A. 3-manifold
    A 3-manifold is a topological space in which every point has a neighborhood homeomorphic to three-dimensional Euclidean space \(\mathbb{R}^3\).
  • B. homological invariant
    A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
  • C. 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.
  • D. differential-topological invariant
    A differential-topological invariant is a quantity or property defined using smooth structures (like differentiable maps, vector fields, or differential forms) that remains unchanged under diffeomorphisms of manifolds.
  • E. operation on homotopy groups
    An operation on homotopy groups is a rule that takes one or more elements (or groups) of homotopy groups and produces new elements in (possibly other) homotopy groups in a way that respects their algebraic and topological structure.
  • F. None of above. chosen

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_69f76e80f6f0819091cba8e19b269615 completed May 3, 2026, 3:49 p.m.
Created at: May 3, 2026, 4:13 p.m.