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Add generated hammock Dwyer-Kan core - #135

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miuchan merged 1 commit into
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codex/generated-hammock-dwyer-kan-core
Aug 22, 2026
Merged

Add generated hammock Dwyer-Kan core#135
miuchan merged 1 commit into
mainfrom
codex/generated-hammock-dwyer-kan-core

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@miuchan miuchan commented Aug 22, 2026

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Summary

  • smallify the full generated hammock-path mapping categories in the same universe as the linear and actual target local categories
  • construct generated-to-linear and direct generated-to-target categorical equivalences, categorical-nerve equivalence witnesses, and explicit simplicial homotopy inverses
  • prove the direct generated target comparison factors strictly through the independent linear hammock comparison
  • package these local results with outer essential surjectivity as GeneratedHammockDwyerKanCore and expose them through the mapping/global comparison cores
  • update the axiom audit, blueprint, model matrix, conjecture boundary, and four-language research status

Verification

  • lake build Ript.Higher.CostExactZigzagMappingSpace
  • lake build Ript.Higher.CostExactZigzagGlobalComparison
  • ./scripts/check-source-quality.sh
  • ./scripts/check-axioms.sh
  • ./scripts/quality-gate.sh (3664 build targets, declaration lint, executable examples, and axiom allowlist all passed)

Remaining boundary

This is an audited project-local generated-hammock Dwyer--Kan core. It does not yet identify the generated presentation with the classical reduced arbitrary-grid hammock localization or another standard derived mapping-space construction. Critical-pair coherence, reduced-hammock invariance, standard weak-equivalence packaging, and the final global complete-Segal/Rezk theorem remain open.

@miuchan
miuchan marked this pull request as ready for review August 22, 2026 12:36
@miuchan
miuchan merged commit d109fce into main Aug 22, 2026
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