feat: CategoryTheory.toSheafify induces an isomorphism on stalks#35386
feat: CategoryTheory.toSheafify induces an isomorphism on stalks#35386Brian-Nugent wants to merge 2 commits intoleanprover-community:masterfrom
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PR summary 33c03d9bba
|
| File | Base Count | Head Count | Change |
|---|---|---|---|
| Mathlib.Topology.Sheaves.Sheafify | 1040 | 1044 | +4 (+0.38%) |
Import changes for all files
| Files | Import difference |
|---|---|
Mathlib.Topology.Sheaves.Sheafify |
4 |
Declarations diff
+ isIso_map_unit_of_isLeftAdjoint_comp
+ map_unit_of_isLeftAdjoint_comp
+ skyscraperSheafForgetAdjunction
+ stalkFunctor_map_unit_toSheafify_isIso
You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>
## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>The doc-module for scripts/declarations_diff.sh contains some details about this script.
No changes to technical debt.
You can run this locally as
./scripts/technical-debt-metrics.sh pr_summary
- The
relativevalue is the weighted sum of the differences with weight given by the inverse of the current value of the statistic. - The
absolutevalue is therelativevalue divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).
The main result
TopCat.Presheaf.stalkFunctor_map_unit_toSheafify_isIsosays that for a presheaf on a topological space, the induced map on stalks ofCategoryTheory.toSheafifyis an isomorphism. This is similar toTopCat.Presheaf.sheafifyStalkIsodefined in the same file except that the latter is only for sheaves of Types.The proof involved the abstract nonsense
CategoryTheory.Adjunction.isIso_map_unit_of_isLeftAdjoint_compwhich should probably go in a different file but feels too specific to go into any of the files inCategoryTheory.Adjunction.Suggestions are very welcome.