Triple

T15990323
Position Surface form Disambiguated ID Type / Status
Subject Kazimierz Kuratowski E387805 entity
Predicate hasAxiomSystem P4930 FINISHED
Object Kuratowski closure axioms E1187535 NE 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: Kuratowski closure axioms | Statement: [Kazimierz Kuratowski, hasAxiomSystem, Kuratowski closure axioms]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Kuratowski closure axioms
Context triple: [Kazimierz Kuratowski, hasAxiomSystem, Kuratowski closure axioms]
  • A. Kuratowski closure axioms chosen
    Kuratowski closure axioms are a set of four fundamental properties that characterize the notion of closure in topological spaces and provide an axiomatic foundation for topology.
  • B. Kuratowski’s closure-complement problem
    Kuratowski’s closure-complement problem is a classic result in topology that determines the maximum number of distinct sets obtainable from a subset of a topological space by repeatedly applying closure and complement operations.
  • C. Alexandrov–Hausdorff theorem
    The Alexandrov–Hausdorff theorem is a result in descriptive set theory that characterizes analytic sets as continuous images of Baire space, playing a key role in the study of definable sets in Polish spaces.
  • D. Tychonoff theorem for products of compact spaces
    The Tychonoff theorem for products of compact spaces is a fundamental result in topology stating that any product of compact topological spaces is compact, a statement that is equivalent in strength to the axiom of choice.
  • E. Freudenthal compactification
    The Freudenthal compactification is a topological construction that extends a non-compact, locally compact space by adding a boundary of “ends” to obtain a compact space that more finely captures its asymptotic structure than the one-point (Alexandrov) compactification.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d86daa562c81908aacc179c0fe8fb5 completed April 10, 2026, 3:25 a.m.
NER Named-entity recognition batch_69e157835cac81909e979f9be281f328 completed April 16, 2026, 9:41 p.m.
NED1 Entity disambiguation (via context triple) batch_69ffcf1cb1388190b1ebccc6705e5974 completed May 10, 2026, 12:19 a.m.
Created at: April 10, 2026, 4:54 a.m.