Triple

T17386368
Position Surface form Disambiguated ID Type / Status
Subject Andrei Suslin E422696 entity
Predicate knownFor P22 FINISHED
Object Suslin homology
Suslin homology is a homology theory in algebraic geometry and K-theory, introduced by Andrei Suslin, that studies algebraic varieties via complexes of algebraic cycles.
E1266015 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: Suslin homology | Statement: [Andrei Suslin, knownFor, Suslin homology]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Suslin homology
Context triple: [Andrei Suslin, knownFor, Suslin homology]
  • A. Alexandrov–Čech cohomology
    Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
  • B. Souslin operation
    The Souslin operation is a set-theoretic construction that generates complex sets (notably analytic sets) from families of subsets of a topological space, playing a central role in descriptive set theory.
  • C. Lusin–Souslin theorem
    The Lusin–Souslin theorem is a fundamental result in descriptive set theory stating that the continuous injective image of a Borel set in a Polish space is again a Borel set.
  • D. Moscow school of topology
    The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
  • E. Alexander–Spanier cohomology
    Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
  • 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: Suslin homology
Triple: [Andrei Suslin, knownFor, Suslin homology]
Generated description
Suslin homology is a homology theory in algebraic geometry and K-theory, introduced by Andrei Suslin, that studies algebraic varieties via complexes of algebraic cycles.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Suslin homology
Target entity description: Suslin homology is a homology theory in algebraic geometry and K-theory, introduced by Andrei Suslin, that studies algebraic varieties via complexes of algebraic cycles.
  • A. Alexandrov–Čech cohomology
    Alexandrov–Čech cohomology is a topological cohomology theory that computes invariants of spaces using inverse limits over open covers, closely related to and often coinciding with sheaf cohomology.
  • B. Souslin operation
    The Souslin operation is a set-theoretic construction that generates complex sets (notably analytic sets) from families of subsets of a topological space, playing a central role in descriptive set theory.
  • C. Lusin–Souslin theorem
    The Lusin–Souslin theorem is a fundamental result in descriptive set theory stating that the continuous injective image of a Borel set in a Polish space is again a Borel set.
  • D. Moscow school of topology
    The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
  • E. Alexander–Spanier cohomology
    Alexander–Spanier cohomology is a cohomology theory in algebraic topology defined using cochains on all finite subsets of a space, notable for its generality and close relationship to Čech and singular cohomology.
  • 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_69d889d710288190bf0f4762801fefae completed April 10, 2026, 5:25 a.m.
NER Named-entity recognition batch_69e43a89c5008190a277a68e5cfe67b7 completed April 19, 2026, 2:14 a.m.
NED1 Entity disambiguation (via context triple) batch_6a019ff95e7c81909564abc3fe319611 completed May 11, 2026, 9:23 a.m.
NEDg Description generation batch_6a01a0c2f1108190b3cdabdcd3da7253 completed May 11, 2026, 9:26 a.m.
NED2 Entity disambiguation (via description) batch_6a01a14aeab881908abf4ec28164ba84 completed May 11, 2026, 9:28 a.m.
Created at: April 10, 2026, 5:45 a.m.