Triple
T16411741
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Józef Schreier |
E398582
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Schreier space
Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
|
E1212016
|
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: Schreier space | Statement: [Józef Schreier, notableWork, Schreier space]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schreier space Context triple: [Józef Schreier, notableWork, Schreier space]
-
A.
Gowers–Maurey space
The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
-
B.
Baire space
Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
-
C.
Sierpiński set
The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
-
D.
Montel space
A Montel space is a type of locally convex topological vector space in which every closed and bounded set is compact, implying strong convergence and compactness properties useful in functional analysis and distribution theory.
-
E.
Gowers dichotomy for Banach spaces
Gowers dichotomy for Banach spaces is a fundamental result in functional analysis that classifies infinite-dimensional Banach spaces by showing that each contains either a subspace with an unconditional basis or a hereditarily indecomposable subspace.
- 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: Schreier space Triple: [Józef Schreier, notableWork, Schreier space]
Generated description
Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Schreier space Target entity description: Schreier space is a classical example of a Banach space in functional analysis, introduced by Józef Schreier, known for its unusual structural properties and role in the study of bases and subspaces.
-
A.
Gowers–Maurey space
The Gowers–Maurey space is a specially constructed Banach space that provided a counterexample to the unconditional basic sequence problem, showing that there exist Banach spaces with no unconditional basic sequences.
-
B.
Baire space
Baire space is a fundamental topological space—typically the set of all infinite sequences of natural numbers with the product topology—that serves as a central object in descriptive set theory and general topology.
-
C.
Sierpiński set
The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
-
D.
Montel space
A Montel space is a type of locally convex topological vector space in which every closed and bounded set is compact, implying strong convergence and compactness properties useful in functional analysis and distribution theory.
-
E.
Gowers dichotomy for Banach spaces
Gowers dichotomy for Banach spaces is a fundamental result in functional analysis that classifies infinite-dimensional Banach spaces by showing that each contains either a subspace with an unconditional basis or a hereditarily indecomposable subspace.
- 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_69d87f2950248190bc8ad9b9bebdc8c8 |
completed | April 10, 2026, 4:40 a.m. |
| NER | Named-entity recognition | batch_69e32874a0cc8190874aea10b1d13004 |
completed | April 18, 2026, 6:45 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a003c66d41481909340f247f6e5393f |
completed | May 10, 2026, 8:05 a.m. |
| NEDg | Description generation | batch_6a003f2971bc819099f9b6800885bb5f |
completed | May 10, 2026, 8:17 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a003ff96b3081909bcef37c77c0c5b1 |
completed | May 10, 2026, 8:21 a.m. |
Created at: April 10, 2026, 5:09 a.m.