Triple
T7648136
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alexandrov compactification |
E173177
|
entity |
| Predicate | failsToBeHausdorffIf |
P77814
|
FINISHED |
| Object | the original space is not locally compact |
—
|
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: the original space is not locally compact | Statement: [Alexandrov compactification, failsToBeHausdorffIf, the original space is not locally compact]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: failsToBeHausdorffIf Context triple: [Alexandrov compactification, failsToBeHausdorffIf, the original space is not locally compact]
-
A.
isHausdorff
Indicates that a topological space satisfies the Hausdorff separation property, meaning any two distinct points can be separated by disjoint open sets.
-
B.
hasHausdorffDimension
Indicates that a mathematical object is associated with a specific Hausdorff dimension value, expressing the fractal or geometric complexity of the object.
-
C.
isClosedAndNowhereDense
Indicates that a set is both closed (contains all its limit points) and nowhere dense (its closure has empty interior, so it is "small" in the topological sense).
-
D.
isNowhereDense
Indicates that a set is so sparse in the space that the closure of the set has empty interior, meaning it contains no nontrivial open subset.
-
E.
homeomorphicTo
Indicates that two topological spaces can be continuously deformed into each other via a bijective, continuous map with a continuous inverse, preserving their topological structure.
- F. None of above. chosen
Provenance (4 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_69c6995473348190a4f41d110d619a18 |
completed | March 27, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69c6faf6328c8190bce0a3f8a17ef890 |
completed | March 27, 2026, 9:47 p.m. |
| PD | Predicate disambiguation | batch_69c6f4e9ef1c81909c8bff716541ac1f |
completed | March 27, 2026, 9:21 p.m. |
| PDg | Predicate description generation | batch_69c6f8195e5c8190835e28d44e19f6ef |
completed | March 27, 2026, 9:35 p.m. |
Created at: March 27, 2026, 3:58 p.m.