Triple

T27133766
Position Surface form Disambiguated ID Type / Status
Subject Baire space ω^ω E681626 entity
Predicate isNotHomeomorphicTo P73738 FINISHED
Object Cantor space 2^ω NE NERFINISHED

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: Cantor space 2^ω | Statement: [Baire space ω^ω, isNotHomeomorphicTo, Cantor space 2^ω]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isNotHomeomorphicTo
Context triple: [Baire space ω^ω, isNotHomeomorphicTo, Cantor space 2^ω]
  • A. homeomorphicTo chosen
    Indicates that two topological spaces can be continuously deformed into each other via a bijective, continuous map with a continuous inverse, preserving their topological structure.
  • B. isDiffeomorphicTo
    Indicates that there exists a smooth, bijective map between two spaces whose inverse is also smooth, so the spaces are equivalent in the sense of differential topology.
  • C. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • D. hasHomomorphism
    Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
  • E. isNotKnownToBeEquivalentTo
    Indicates that there is no established or recognized evidence that one entity is equivalent to another.
  • F. None of above.

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_69eefacbcc2081909ebf00daa23f1981 completed April 27, 2026, 5:57 a.m.
NER Named-entity recognition batch_69f625411c14819086492062e86ba8d5 completed May 2, 2026, 4:24 p.m.
PD Predicate disambiguation batch_69f623a91b9c8190b2e2fdbc55cb89b6 completed May 2, 2026, 4:17 p.m.
Created at: April 27, 2026, 9:05 a.m.