Triple

T11961903
Position Surface form Disambiguated ID Type / Status
Subject Johann Radon E284687 entity
Predicate hasConceptNamedAfter P3325 FINISHED
Object Radon space
A Radon space is a topological space in which every finite Borel measure is inner regular, meaning the measure of any Borel set can be approximated from within by compact subsets.
E956301 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: Radon space | Statement: [Johann Radon, hasConceptNamedAfter, Radon space]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Radon space
Context triple: [Johann Radon, hasConceptNamedAfter, Radon space]
  • A. 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.
  • B. Noetherian space
    A Noetherian space is a topological space in which every descending chain of closed subsets stabilizes, mirroring the finiteness conditions of Noetherian rings in algebra.
  • C. Lindelöf space
    A Lindelöf space is a topological space in which every open cover has a countable subcover, generalizing a key compactness property.
  • D. 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.
  • 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: Radon space
Triple: [Johann Radon, hasConceptNamedAfter, Radon space]
Generated description
A Radon space is a topological space in which every finite Borel measure is inner regular, meaning the measure of any Borel set can be approximated from within by compact subsets.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Radon space
Target entity description: A Radon space is a topological space in which every finite Borel measure is inner regular, meaning the measure of any Borel set can be approximated from within by compact subsets.
  • A. 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.
  • B. Noetherian space
    A Noetherian space is a topological space in which every descending chain of closed subsets stabilizes, mirroring the finiteness conditions of Noetherian rings in algebra.
  • C. Lindelöf space
    A Lindelöf space is a topological space in which every open cover has a countable subcover, generalizing a key compactness property.
  • D. 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.
  • 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

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_69d6ab2eaeb881909f7914758f859413 completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d9037848f481908276716675464464 completed April 10, 2026, 2:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69f4592fa9a48190a0450e3d0c57c4d3 completed May 1, 2026, 7:41 a.m.
NEDg Description generation batch_69f4645ef63881909b46937f73d637a3 completed May 1, 2026, 8:29 a.m.
NED2 Entity disambiguation (via description) batch_69f465be4db08190882898a17d077019 completed May 1, 2026, 8:35 a.m.
Created at: April 8, 2026, 9:45 p.m.