Bibliographic record
Abstract
Slice categories of a semi-abelian category C have a regular epireflection to their subcategories of internal Mal'tsev algebras.These are Birkhoff reflections, hence admissible with respect to regular epis in the sense of Janelidze's categorical Galois theory.We prove that when C is moreover peri-abelian, these reflections form an admissible Galois structure for a larger class of morphisms, called proquotients.Starting from a careful investigation of the previous situation, we prove that all regular epireflective subfibrations in Fib(C) of the codomain fibration of C can be constructed from a reflective subcategory M 0 of C whose unit morphisms have characteristic kernel.The fibres of such reflective subfibrations are admissible with respect to proquotients precisely when M 0 is a Birkhoff subcategory of C. Partial financial support was received from INdAM -Istituto Nazionale di Alta Matematica "Francesco Severi" -Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.000 | 0.002 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".