chore(AlgebraicTopology): rename SingularHomology.HomotopyInvarianceTopCat

[joelriou]

Following #37656, it is possible to rename SingularHomology.HomotopyInvarianceTopCat as SingularHomology.HomotopyInvariance.

---

• depends on: feat(AlgebraicTopology): simplicial homology #37656

[github-actions]

PR summary 1ba90ab6bb

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.AlgebraicTopology.SingularHomology.HomotopyInvarianceTopCat	1720	0	-1720 (-100.00%)
Mathlib.AlgebraicTopology.SingularHomology.HomotopyInvariance	1707	1721	+14 (+0.82%)

Import changes for all files

Files	Import difference
Mathlib.AlgebraicTopology.SingularHomology.HomotopyInvarianceTopCat	-1720
Mathlib.AlgebraicTopology.SingularHomology.Basic	1
Mathlib.AlgebraicTopology.SingularHomology.HomotopyInvariance	14
Mathlib.AlgebraicTopology.SimplicialSet.Homology.Basic (new file)	1086
Mathlib.AlgebraicTopology.SimplicialSet.Homology.HomotopyInvariance (new file)	1137

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Declarations diff

+ chainComplex
+ chainComplexFunctor
+ chainComplexFunctorAdjunction
+ chainComplexXCofan
+ chainComplex_hom_ext
+ congr_homologyMap
+ congr_sSetHomologyMap
+ homology
+ homologyFunctor
+ homologyMap
+ homologyMap_comp
+ homologyMap_id
+ instance : (chainComplexFunctor C).Additive := by
+ isColimitChainComplexXCofan
+ sSetChainComplexMap
+ ιChainComplex
+ ιChainComplex_d
+ ι_chainComplexMap_f
++ chainComplexMap
++-- congr_homologyMap_singularChainComplexFunctor
++-- singularChainComplexFunctorObjMap
- SSet.singularChainComplexFunctor
- SSet.singularChainComplexFunctorAdjunction
- instance : (SSet.singularChainComplexFunctor C).Additive := by

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

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Increase in tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type
6872	1	backward.isDefEq.respectTransparency

Current commit 05b03e3985
Reference commit 1ba90ab6bb

You can run this locally as

./scripts/reporting/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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note: file Mathlib/AlgebraicTopology/SingularHomology/HomotopyInvarianceTopCat.lean was removed.
Please create a follow-up pull request adding a module deprecation. Thanks!

[github-actions]

✅ PR Title Formatted Correctly

The title of this PR has been updated to match our commit style conventions.
Thank you!

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(AlgebraicTopology): simplicial homology #37656
  By Dependent Issues (🤖). Happy coding!