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refactor(AlgebraicTopology/SimplicialSet): truncated paths #20668

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refactor(AlgebraicTopology/SimplicialSet): truncated paths #20668

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@gio256 gio256 commented Jan 11, 2025 •
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We refactor the StrictSegal infrastructure, making two notable changes:

  • The StrictSegal class is redefined as a structure, and the class IsStrictSegal X : Prop is added in its place.
  • Path, StrictSegal, and related constructions are defined for truncated simplicial sets. A path in a simplicial set X is then defined as a 1-truncated path in the 1-truncation of X.

You may want to inspect the diff against #21090, which I will try to maintain here.

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@gio256 gio256 added WIP Work in progress t-category-theory Category theory labels Jan 11, 2025
@gio256 gio256 changed the title Refactor StrictSegal constructions through SSet.Truncated feat(AlgebraicTopology/SimplicialSet): Refactor StrictSegal constructions through SSet.Truncated Jan 12, 2025
@gio256 gio256 mentioned this pull request Jan 12, 2025
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@gio256 gio256 changed the title feat(AlgebraicTopology/SimplicialSet): Refactor StrictSegal constructions through SSet.Truncated feat(AlgebraicTopology/SimplicialSet): refactor StrictSegal via SSet.Truncated Jan 14, 2025
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Jan 14, 2025
@gio256 gio256 removed the WIP Work in progress label Feb 5, 2025
@gio256 gio256 mentioned this pull request Feb 7, 2025
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