Triple

T36876962
Position Surface form Disambiguated ID Type / Status
Subject Bockstein homomorphism E911365 entity
Predicate isConnectingHomomorphismOf P69858 FINISHED
Object long exact sequence in cohomology LITERAL 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: long exact sequence in cohomology | Statement: [Bockstein homomorphism, isConnectingHomomorphismOf, long exact sequence in cohomology]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isConnectingHomomorphismOf
Context triple: [Bockstein homomorphism, isConnectingHomomorphismOf, long exact sequence in cohomology]
  • A. hasHomotopyGroup
    Indicates that one topological space has a specified homotopy group (of a given degree) related to its structure of continuous deformations.
  • B. hasHomomorphism chosen
    Indicates that there exists a structure-preserving map (homomorphism) from one mathematical structure to another.
  • C. hasCohomologyIsomorphicTo
    Indicates that the cohomology groups (with their algebraic structure) of one object are isomorphic to those of another object.
  • D. isConnectedComponentOf
    Indicates that one entity is a connected component that belongs to or forms part of another, larger structure or graph.
  • E. homeomorphicTo
    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.
  • 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_69f76e82339881909607a65c0503d941 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69fba78aca4c8190b8f1831e8cc04e06 completed May 6, 2026, 8:41 p.m.
PD Predicate disambiguation batch_69fba34a65a4819088bac6c17542d71c completed May 6, 2026, 8:23 p.m.
Created at: May 3, 2026, 4:13 p.m.