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.