Triple

T17396929
Position Surface form Disambiguated ID Type / Status
Subject Norman Steenrod E422977 entity
Predicate hasConceptNamedAfter P3325 FINISHED
Object Steenrod algebra
The Steenrod algebra is a fundamental algebraic structure in algebraic topology that encodes stable cohomology operations, particularly the Steenrod squares and powers, acting on cohomology rings.
E911362 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 algebra | Statement: [Norman Steenrod, hasConceptNamedAfter, Steenrod algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Steenrod algebra
Context triple: [Norman Steenrod, hasConceptNamedAfter, Steenrod algebra]
  • 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. Atiyah–Hirzebruch spectral sequence
    The Atiyah–Hirzebruch spectral sequence is a fundamental computational tool in algebraic topology that relates generalized cohomology theories, such as K-theory, to ordinary cohomology, enabling the step-by-step calculation of these invariants from simpler data.
  • C. Alexander–Spanier cohomology
    Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
  • D. 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.
  • E. Eilenberg–MacLane spaces
    Eilenberg–MacLane spaces are topological spaces characterized by having a single nontrivial homotopy group, serving as fundamental building blocks in homotopy theory and the definition of cohomology.
  • 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 algebra
Triple: [Norman Steenrod, hasConceptNamedAfter, Steenrod algebra]
Generated description
The Steenrod algebra is a fundamental algebraic structure in algebraic topology that encodes stable cohomology operations, particularly the Steenrod squares and powers, acting on cohomology rings.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Steenrod algebra
Target entity description: The Steenrod algebra is a fundamental algebraic structure in algebraic topology that encodes stable cohomology operations, particularly the Steenrod squares and powers, acting on cohomology rings.
  • A. Steenrod operations chosen
    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. Atiyah–Hirzebruch spectral sequence
    The Atiyah–Hirzebruch spectral sequence is a fundamental computational tool in algebraic topology that relates generalized cohomology theories, such as K-theory, to ordinary cohomology, enabling the step-by-step calculation of these invariants from simpler data.
  • C. Alexander–Spanier cohomology
    Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
  • D. 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.
  • E. Eilenberg–MacLane spaces
    Eilenberg–MacLane spaces are topological spaces characterized by having a single nontrivial homotopy group, serving as fundamental building blocks in homotopy theory and the definition of cohomology.
  • F. None of above.

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.