Triple

T17396931
Position Surface form Disambiguated ID Type / Status
Subject Norman Steenrod E422977 entity
Predicate hasConceptNamedAfter P3325 FINISHED
Object Steenrod problem
The Steenrod problem is a question in algebraic topology concerning the realization of homology classes by smooth manifolds or submanifolds.
E1266751 NE FINISHED

How this triple was built (4 steps)

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.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Steenrod problem | Statement: [Norman Steenrod, hasConceptNamedAfter, Steenrod problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steenrod problem
Context triple: [Norman Steenrod, hasConceptNamedAfter, Steenrod problem]
  • A. Steenrod operations
    Steenrod operations are cohomology operations in algebraic topology that act on cohomology groups, providing powerful tools for distinguishing topological spaces and defining and studying characteristic classes.
  • B. Segal conjecture
    The Segal conjecture is a fundamental result in algebraic topology that relates the Burnside ring of a finite group to the stable cohomotopy of its classifying space, profoundly influencing equivariant stable homotopy theory.
  • C. Hopf invariant
    The Hopf invariant is a topological integer-valued invariant that classifies certain continuous maps between spheres, playing a central role in homotopy theory and the study of higher-dimensional linking.
  • D. Bott periodicity
    Bott periodicity is a fundamental theorem in homotopy theory and K-theory that reveals a repeating pattern in the homotopy groups of classical groups, leading to the periodic structure of topological K-theory.
  • E. Hirzebruch signature theorem
    The Hirzebruch signature theorem is a fundamental result in differential topology that expresses the signature of a smooth, compact, oriented 4k-dimensional manifold as a polynomial in its Pontryagin classes.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Steenrod problem
Triple: [Norman Steenrod, hasConceptNamedAfter, Steenrod problem]
Generated description
The Steenrod problem is a question in algebraic topology concerning the realization of homology classes by smooth manifolds or submanifolds.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Steenrod problem
Target entity description: The Steenrod problem is a question in algebraic topology concerning the realization of homology classes by smooth manifolds or submanifolds.
  • A. Steenrod operations
    Steenrod operations are cohomology operations in algebraic topology that act on cohomology groups, providing powerful tools for distinguishing topological spaces and defining and studying characteristic classes.
  • B. Segal conjecture
    The Segal conjecture is a fundamental result in algebraic topology that relates the Burnside ring of a finite group to the stable cohomotopy of its classifying space, profoundly influencing equivariant stable homotopy theory.
  • C. Hopf invariant
    The Hopf invariant is a topological integer-valued invariant that classifies certain continuous maps between spheres, playing a central role in homotopy theory and the study of higher-dimensional linking.
  • D. Bott periodicity
    Bott periodicity is a fundamental theorem in homotopy theory and K-theory that reveals a repeating pattern in the homotopy groups of classical groups, leading to the periodic structure of topological K-theory.
  • E. Hirzebruch signature theorem
    The Hirzebruch signature theorem is a fundamental result in differential topology that expresses the signature of a smooth, compact, oriented 4k-dimensional manifold as a polynomial in its Pontryagin classes.
  • F. None of above. chosen

Provenance (5 batches)

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_69d889d710288190bf0f4762801fefae completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43abd9b748190bd55c863276d9e3a completed April 19, 2026, 2:15 a.m.
NED1 Entity disambiguation (via context triple) batch_6a01a00100c48190930c8bf9b6917aa5 completed May 11, 2026, 9:23 a.m.
NEDg Description generation batch_6a01a176d2488190951bbe07233a37e4 completed May 11, 2026, 9:29 a.m.
NED2 Entity disambiguation (via description) batch_6a01a58b12088190828078c69c4fff4b completed May 11, 2026, 9:46 a.m.
Created at: April 10, 2026, 5:45 a.m.