Triple
T27133779
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Baire space ω^ω |
E681626
|
entity |
| Predicate | isStandardBorelSpace |
P163472
|
FINISHED |
| Object | true |
—
|
LITERAL FINISHED |
How this triple was built (2 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: true | Statement: [Baire space ω^ω, isStandardBorelSpace, true]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isStandardBorelSpace Context triple: [Baire space ω^ω, isStandardBorelSpace, true]
-
A.
isStandardBorelSpace
chosen
Indicates that a measurable space is isomorphic (via a measurable bijection) to a Borel subset of a complete separable metric (Polish) space, thus having the structure of a standard Borel space.
-
B.
inStandardBorelSpace
Indicates that the entities are related within the framework of a standard Borel space, i.e., a measurable space arising from a complete separable metric (Polish) topology with its Borel σ-algebra.
-
C.
isBorelRegular
Indicates that a measure (or set function) is Borel regular, meaning every measurable set can be closely approximated from above by Borel sets and from below by compact sets.
-
D.
isBaireSpace
Indicates that a topological space has the property that the countable intersection of open dense sets is dense (i.e., it satisfies the Baire category theorem).
-
E.
isBaireCategory
Indicates that a space (or set) satisfies the Baire category property, meaning countable intersections of dense open subsets remain dense in that space.
- F. None of above.
Provenance (3 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_69eefacbcc2081909ebf00daa23f1981 |
completed | April 27, 2026, 5:57 a.m. |
| NER | Named-entity recognition | batch_69f643ed0b7481908cf25f3afec0a61d |
completed | May 2, 2026, 6:35 p.m. |
| PD | Predicate disambiguation | batch_69f641dc8ff48190ab575d855616580c |
completed | May 2, 2026, 6:26 p.m. |
Created at: April 27, 2026, 9:05 a.m.