Triple
T6929668
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cantor set |
E160400
|
entity |
| Predicate | homeomorphicTo |
P73738
|
FINISHED |
| Object | product of countably many discrete two-point spaces |
—
|
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: product of countably many discrete two-point spaces | Statement: [Cantor set, homeomorphicTo, product of countably many discrete two-point spaces]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: homeomorphicTo Context triple: [Cantor set, homeomorphicTo, product of countably many discrete two-point spaces]
-
A.
hasUniversalCoverTopology
Indicates that one space is equipped with the topology inherited from, or corresponding to, its universal covering space.
-
B.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
C.
isSimplyConnected
Indicates that a topological space has no "holes," meaning every loop within it can be continuously contracted to a single point.
-
D.
topology
Indicates the structural or spatial arrangement and connectivity pattern among components within a system.
-
E.
hasHomomorphism
Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
- 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_69c6884e15208190b9e91487eaafcf85 |
completed | March 27, 2026, 1:38 p.m. |
| NER | Named-entity recognition | batch_69c6da1f5fcc8190b43f53f90fc1821c |
completed | March 27, 2026, 7:27 p.m. |
| PD | Predicate disambiguation | batch_69c6d7bb577c81908ee8b415b4281f3d |
completed | March 27, 2026, 7:17 p.m. |
| PDg | Predicate description generation | batch_69c6d98625c88190a37fdf6d95d7fcbd |
completed | March 27, 2026, 7:24 p.m. |
Created at: March 27, 2026, 2:27 p.m.