Triple

T36870489
Position Surface form Disambiguated ID Type / Status
Subject 4-sphere S^4 E911210 entity
Predicate instanceOf P0 FINISHED
Object compact manifold C66506 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: compact manifold
Context triple: [4-sphere S^4, instanceOf, compact manifold]
  • A. connected manifold
    A connected manifold is a topological manifold that cannot be expressed as the union of two or more disjoint nonempty open subsets, meaning any two points can be joined by a continuous path within it.
  • B. oriented manifold
    An oriented manifold is a manifold equipped with a consistent choice of orientation on all its tangent spaces, allowing for a coherent notion of "clockwise" versus "counterclockwise" (or "positive" versus "negative") across the entire space.
  • C. four-dimensional manifold
    A four-dimensional manifold is a topological space that locally resembles four-dimensional Euclidean space, meaning each point has a neighborhood homeomorphic to an open subset of ℝ⁴.
  • D. 3-manifold
    A 3-manifold is a topological space in which every point has a neighborhood homeomorphic to three-dimensional Euclidean space \(\mathbb{R}^3\).
  • E. embedded submanifold
    An embedded submanifold is a subset of a manifold that is itself a manifold, whose inclusion map is a smooth embedding and whose topology and smooth structure agree with those induced from the ambient manifold.
  • 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.