Triple
T14314100
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bernstein set |
E354908
|
entity |
| Predicate | definedOn |
P4464
|
FINISHED |
| Object |
Cantor space
Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
|
E160400
|
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: Cantor space | Statement: [Bernstein set, definedOn, Cantor space]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Cantor space Context triple: [Bernstein set, definedOn, Cantor space]
-
A.
Cantor set
The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
-
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 space
The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
-
D.
Tychonoff space
A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
-
E.
Stone–Čech compactification
The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
- 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: Cantor space Triple: [Bernstein set, definedOn, Cantor space]
Generated description
Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Cantor space Target entity description: Cantor space is a classic totally disconnected, perfect, compact topological space homeomorphic to the middle-thirds Cantor set and fundamental in set theory, topology, and descriptive set theory.
-
A.
Cantor set
chosen
The Cantor set is a classic fractal subset of the real line formed by repeatedly removing the open middle third of intervals, notable for being uncountable, perfect, nowhere dense, and having zero Lebesgue measure.
-
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 space
The Sierpiński space is a fundamental two-point topological space used as a simple model in topology and theoretical computer science, especially for studying open sets, continuity, and domain theory.
-
D.
Tychonoff space
A Tychonoff space is a topological space that is both completely regular and Hausdorff, forming a central class in general topology with strong separation and embedding properties.
-
E.
Stone–Čech compactification
The Stone–Čech compactification is a construction in topology that associates to any topological space a universal, maximally extensive compact Hausdorff space into which it densely embeds.
- F. None of above.
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_69d8278ed42c8190b9f882dcce611347 |
completed | April 9, 2026, 10:26 p.m. |
| NER | Named-entity recognition | batch_69de85b49e5481909b9ffab2d922e284 |
completed | April 14, 2026, 6:21 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69fd4687c6bc819088452892128c420e |
completed | May 8, 2026, 2:12 a.m. |
| NEDg | Description generation | batch_69fd47e2b8d481909ed8274a96615b36 |
completed | May 8, 2026, 2:18 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69fd4879b2688190ac208545ae226c93 |
completed | May 8, 2026, 2:20 a.m. |
Created at: April 10, 2026, 1:12 a.m.