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.