Triple
T34585665
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | S^2 × R geometry |
E888036
|
entity |
| Predicate | isNotSimplyConnectedCompactly |
P179348
|
FINISHED |
| Object | compact quotients have infinite fundamental group |
—
|
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: compact quotients have infinite fundamental group | Statement: [S^2 × R geometry, isNotSimplyConnectedCompactly, compact quotients have infinite fundamental group]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isNotSimplyConnectedCompactly Context triple: [S^2 × R geometry, isNotSimplyConnectedCompactly, compact quotients have infinite fundamental group]
-
A.
isSimplyConnected
Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
-
B.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
C.
isNoncompact
Indicates that the object (such as a space or set) lacks compactness, meaning it does not satisfy the property that every open cover has a finite subcover.
-
D.
isOnePointCompactificationOf
Indicates that one topological space is obtained from another by adding a single “point at infinity” so that the resulting space is compact and extends the original space in a minimal way.
-
E.
isNowhereLocallyCompact
Indicates that the space has no point with a neighborhood that is locally compact, i.e., it is not locally compact at any location.
- 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_69f349d25cbc8190869998de5915886b |
completed | April 30, 2026, 12:23 p.m. |
| NER | Named-entity recognition | batch_69f720c7ea608190bd92d69643330823 |
completed | May 3, 2026, 10:17 a.m. |
| PD | Predicate disambiguation | batch_69f71cc8074c81909ae09bea2acf1a09 |
completed | May 3, 2026, 10 a.m. |
| PDg | Predicate description generation | batch_69f71f8df5d48190944fbfbd9d573868 |
completed | May 3, 2026, 10:12 a.m. |
Created at: May 1, 2026, 2:03 a.m.