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[Merged by Bors] - feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects#21485

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[Merged by Bors] - feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects#21485
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@gio256 gio256 commented Feb 6, 2025

We change the notation for the n-th term of a cosimplicial object X, introducing the new notation X ^[n]. The previous notation X _[n] is also the notation used when X is a simplicial object. This change prevents any confusion between the two and is more in line with the established notation Xⁿ for cosimplicial objects (with simplicial objects denoted Xₙ).


There may be more changes to make to the notation for (co)simplicial objects if the notation for objects of the simplex category is changed. However, this change seems fairly independent and worth considering as a standalone PR.

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@gio256 gio256 added t-category-theory Category theory infinity-cosmos This PR is associated with Infinity Cosmos project labels Feb 6, 2025
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github-actions bot commented Feb 6, 2025

PR summary be232b4bea

Import changes for modified files

No significant changes to the import graph

Import changes for all files
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No declarations were harmed in the making of this PR! 🐙

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.

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./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).

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joelriou commented Feb 6, 2025

Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 6, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 6, 2025
…1485)

We change the notation for the `n`-th term of a cosimplicial object `X`, introducing the new notation `X ^[n]`. The previous notation `X _[n]` is also the notation used when `X` is a simplicial object. This change prevents any confusion between the two and is more in line with the established notation `Xⁿ` for cosimplicial objects (with simplicial objects denoted `Xₙ`).
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mathlib-bors bot commented Feb 6, 2025

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects [Merged by Bors] - feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects Feb 6, 2025
@mathlib-bors mathlib-bors bot closed this Feb 6, 2025
@mathlib-bors mathlib-bors bot deleted the gio/cosimplicial branch February 6, 2025 00:56
Julian added a commit that referenced this pull request Feb 7, 2025
* origin/master:
  chore: update Mathlib dependencies 2025-02-06 (#21523)
  fix(MathlibTest/TransImports): stop inspecting the `Lean` package (#21492)
  style(Mathlib/Computability/Halting): `RePred` to `REPred` (#21216)
  feat(Data/Set/Card): add `ncard_le_encard` (#21467)
  feat(Order): lemmas for `Order.succ` and `Order.pred` in `Fin` (#21437)
  feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons (#21511)
  feat: for continuous linear maps in a normed ring, `flip mul = mul` (#21507)
  chore(GroupTheory/Commutator): don't import `Ring` (#21296)
  chore(Data/Complex/Abs): add `protected` to results that already exists in root namespace (#21454)
  chore(*): `erw`s that can now become `rw`s (#21510)
  chore: allow create-adaptation-pr.sh to continue when bump branch already exists (#21486)
  feat(CategoryTheory): equivalence between `Ind C` and left exact functors from `C` to `Type` (#21430)
  chore: add test to TCSynth.lean (#21499)
  feat: the category of ind-objects satisfies the AB5 axiom (#21350)
  refactor(RepresentationTheory): `ConcreteCategory` instances for `Rep` (#21465)
  chore: split Mathlib.Order.Filter.Basic (#21403)
  chore: update Mathlib dependencies 2025-02-06 (#21487)
  chore(Cache): Add support for $MATHLIB_CACHE_DIR (#21480)
  feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself (#21436)
  feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects (#21485)
  chore: upgrade dependencies manually (#21484)
  refactor(Analysis/Normed): `ConcreteCategory` refactor for `SemiNormedGrp` (#21477)
  refactor(LinearAlgebra): `ConcreteCategory` instance for `QuadraticModuleCat` (#21471)
  refactor(MeasureTheory): `ConcreteCategory` instance for `MeasCat` (#21468)
  refactor(Topology/Category): clean up remaining uses of `HasForget` (#21458)
  refactor(CategoryTheory): `ConcreteCategory` instances for pointed types (#21470)
  feat(CategoryTheory/Action): `ConcreteCategory` instances for `Action` (#21462)
  feat(CategoryTheory): `ConcreteCategory` instance for `DifferentialObject` (#21464)
  feat(Analysis/Normed/Group/SeparationQuotient): add normed lifts and `mk` (#18178)
  chore: rename `encard_le_card` to `encard_le_encard` (#21426)
  feat: add theorem about the norm of cross products (#20920)
  feat(Data/Matroid/Circuit): circuit elimination and finitary matroids (#21172)
  feat(LinearAlgebra/ExteriorPower): add iMulti_family definition for product of a family of vectors (#21397)
pfaffelh pushed a commit that referenced this pull request Feb 7, 2025
…1485)

We change the notation for the `n`-th term of a cosimplicial object `X`, introducing the new notation `X ^[n]`. The previous notation `X _[n]` is also the notation used when `X` is a simplicial object. This change prevents any confusion between the two and is more in line with the established notation `Xⁿ` for cosimplicial objects (with simplicial objects denoted `Xₙ`).
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