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Let X be a simplicial set. In this PR, we show that a bicartesian square in the lattice of subcomplexes of X gives a pushout in the category SSet, and "multicoequalizer diagrams" in this lattice also allow to express certain subcomplexes as the multicoequalizers in the category of simplicial sets.

From https://github.com/joelriou/topcat-model-category


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@joelriou joelriou added the t-algebraic-topology Algebraic topology label Nov 19, 2025
@github-actions github-actions bot added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Nov 19, 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 Nov 19, 2025
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github-actions bot commented Nov 19, 2025

PR summary b7543c7cba

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ BicartSq
+ BicartSq.isPushout
+ MulticoequalizerDiagram
+ instance : Unique (MultispanShape.ofLinearOrder Bool).L
+ isColimit
+ isColimit'
+ isColimitOfMulticoequalizerDiagram'
+ isPushout_of_bicartSq
++ in

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).

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