Bibliographic record
Abstract
It is known that a topological correspondence (X, λ) from a locally compact groupoid with a Haar system (G, α) to another one, (H, β), produces a C * -correspondence H(X, λ) from C * (G, α) to C * (H, β).We described the composition of two topological correspondences in one of our earlier articles.In the present article, we prove that second countable locally compact Hausdorff groupoids with Haar systems form a bicategory T when equipped with topological correspondences as 1-arrows and isomorphisms of topological correspondences as 2-arrows.On the other hand, it well-known that C * -algebras form a bicategory C with C *correspondences as 1-arrows, and the unitary isomorphisms of Hilbert C * -modules that intertwine the representations serve as the 2-arrows.In this article, we show that a topological correspondence going to a C * -one is a bifunctor T / / C. Finally, we show that in the sub-bicategory of T consisting of the Macho-Stadler-O'uchi correspondences, invertible 1-arrows are exactly the groupoid equivalences.This article was partially written during the authors stay as an NPDF in IISER Pune which
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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 | 0.003 | 0.002 |
| Science and technology studies | 0.002 | 0.002 |
| Scholarly communication | 0.003 | 0.002 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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".