Triple
T16571015
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Bronisław Knaster |
E402583
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Knaster–Kuratowski fan
The Knaster–Kuratowski fan is a classic example in topology of a connected but not locally connected continuum, often used to illustrate subtle pathologies in plane sets.
|
E1221300
|
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: Knaster–Kuratowski fan | Statement: [Bronisław Knaster, notableWork, Knaster–Kuratowski fan]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Knaster–Kuratowski fan Context triple: [Bronisław Knaster, notableWork, Knaster–Kuratowski fan]
-
A.
Mazurkiewicz–Sierpiński paradox
The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
-
B.
Mazurkiewicz–Sierpiński theorem
The Mazurkiewicz–Sierpiński theorem is a result in topology and measure theory that characterizes certain properties of measurable sets and mappings, particularly concerning continuous images of sets in Euclidean spaces.
-
C.
Hausdorff
Hausdorff is a topological separation property requiring that any two distinct points in a space can be enclosed in disjoint open sets.
-
D.
Sierpiński set
The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
-
E.
Sierpiński gasket
The Sierpiński gasket is a classic self-similar fractal formed by repeatedly removing central triangles from an initial equilateral triangle, illustrating fundamental concepts in fractal geometry and chaos theory.
- 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: Knaster–Kuratowski fan Triple: [Bronisław Knaster, notableWork, Knaster–Kuratowski fan]
Generated description
The Knaster–Kuratowski fan is a classic example in topology of a connected but not locally connected continuum, often used to illustrate subtle pathologies in plane sets.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Knaster–Kuratowski fan Target entity description: The Knaster–Kuratowski fan is a classic example in topology of a connected but not locally connected continuum, often used to illustrate subtle pathologies in plane sets.
-
A.
Mazurkiewicz–Sierpiński paradox
The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
-
B.
Mazurkiewicz–Sierpiński theorem
The Mazurkiewicz–Sierpiński theorem is a result in topology and measure theory that characterizes certain properties of measurable sets and mappings, particularly concerning continuous images of sets in Euclidean spaces.
-
C.
Hausdorff
Hausdorff is a topological separation property requiring that any two distinct points in a space can be enclosed in disjoint open sets.
-
D.
Sierpiński set
The Sierpiński set is a subset of the real numbers with the property that it intersects every uncountable closed subset of the reals in only countably many points, illustrating extreme pathological behavior in set theory and real analysis.
-
E.
Sierpiński gasket
The Sierpiński gasket is a classic self-similar fractal formed by repeatedly removing central triangles from an initial equilateral triangle, illustrating fundamental concepts in fractal geometry and chaos theory.
- F. None of above. chosen
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_69d8838648088190acf97ef11fc3f61b |
completed | April 10, 2026, 4:58 a.m. |
| NER | Named-entity recognition | batch_69e35958d49c8190b995188240fb355b |
completed | April 18, 2026, 10:13 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a006ee8812c81908ef74636bf39d44a |
completed | May 10, 2026, 11:41 a.m. |
| NEDg | Description generation | batch_6a0070024cb4819092ee0ce1320f0905 |
completed | May 10, 2026, 11:46 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a00707959a081909fc04947624abbe5 |
completed | May 10, 2026, 11:48 a.m. |
Created at: April 10, 2026, 5:16 a.m.