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[Merged by Bors] - feat(CategoryTheory): accessible functors and presentable objects#19937

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category-theory-accessible
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[Merged by Bors] - feat(CategoryTheory): accessible functors and presentable objects#19937
joelriou wants to merge 51 commits intomasterfrom
category-theory-accessible

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@joelriou joelriou commented Dec 13, 2024

This PR introduces the notions of accessible functors and of presentable objects. An object X in a category is κ-presentable (for κ a regular cardinal) if the functor Hom(X, -) commutes with colimits indexed by κ-filtered categories.


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@joelriou joelriou added WIP Work in progress t-category-theory Category theory labels Dec 13, 2024
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github-actions bot commented Dec 13, 2024

PR summary a0b651639a

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.Presentable.Basic (new file) 770

Declarations diff

+ HasCardinalFilteredColimits
+ IsCardinalAccessible
+ IsCardinalPresentable
+ instance [HasColimitsOfSize.{w, w} C] : HasCardinalFilteredColimits.{w} C κ
+ isCardinalAccessible_of_le
+ isCardinalAccessible_of_natIso
+ isCardinalPresentable_of_iso
+ isCardinalPresentable_of_le
+ of_equivalence
+ preservesColimitsOfShape_of_isCardinalAccessible
+ preservesColimitsOfShape_of_isCardinalAccessible_of_essentiallySmall
+ preservesColimitsOfShape_of_isCardinalPresentable
+ preservesColimitsOfShape_of_isCardinalPresentable_of_essentiallySmall

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 script/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 relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Dec 13, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 13, 2025
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jan 23, 2025
@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 23, 2025
@joelriou joelriou removed the WIP Work in progress label Jan 23, 2025
@joelriou joelriou changed the title feat(CategoryTheory): presentable objects feat(CategoryTheory): accessible functors and presentable objects Jan 23, 2025
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Thanks!
bors d+

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mathlib-bors bot commented Jan 25, 2025

✌️ joelriou can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Jan 25, 2025
joelriou and others added 5 commits January 25, 2025 09:20
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Jan 25, 2025
mathlib-bors bot pushed a commit that referenced this pull request Jan 25, 2025
…9937)

This PR introduces the notions of accessible functors and of presentable objects. An object `X` in a category is `κ`-presentable (for `κ` a regular cardinal) if the functor `Hom(X, -)` commutes with colimits indexed by `κ`-filtered categories.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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bors cancel

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bors merge

mathlib-bors bot pushed a commit that referenced this pull request Jan 25, 2025
…9937)

This PR introduces the notions of accessible functors and of presentable objects. An object `X` in a category is `κ`-presentable (for `κ` a regular cardinal) if the functor `Hom(X, -)` commutes with colimits indexed by `κ`-filtered categories.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Jan 25, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): accessible functors and presentable objects [Merged by Bors] - feat(CategoryTheory): accessible functors and presentable objects Jan 25, 2025
@mathlib-bors mathlib-bors bot closed this Jan 25, 2025
@mathlib-bors mathlib-bors bot deleted the category-theory-accessible branch January 25, 2025 22:06
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4 participants