Bibliographic record
Abstract
For a C-indexed category A , an A -descent equivalence is a morphism of bundles in C which induces an equivalence between the A -descent categories of its domain and codomain. In this note, properties of such morphisms are studied, and those morphisms which are A -descent equivalences for all C-indexed categories A are fully characterized. Mathematics Subject Classification: 18A20, 18A25, 18D05, 18D30. Key words: internal category, indexed category, (effective) A -descent morphism, A -descent (pre-)equivalence, absolute descent equivalence. Partial financial assistance through an NSERC Research Grant is acknowledged. y The hospitality of York University and financial assistance by CMUC/FCT as well as by the EC/Canada project ATLANTIS 98-00-CAN-0017-00 are acknowledged. 1 0. Introduction. Descent Theory was developed by Grothendieck [1], [2] in the context of fibred categories. If the category E is fibred over the category C with pullbacks, then each morphism p : E ! B of C is ...
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.002 | 0.003 |
| Scholarly communication | 0.002 | 0.004 |
| Open science | 0.001 | 0.003 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.010 | 0.002 |
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".