Corpus definition canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Definition cid001320DEF0194canonicalv1

Čech Complex

Čech complex for the cylinder cover of Z/M_k Z. Coboundary δ⁰(f)(a,b) = f(b) - f(a). Satisfies δ² = 0 (alternating sum identity).

Payload

Čech Complex

Čech complex for the cylinder cover of Z/M_k Z. Coboundary δ⁰(f)(a,b) = f(b) - f(a). Satisfies δ² = 0 (alternating sum identity).

Čech Complex

Summary

Čech complex for the cylinder cover of Z/M_k Z. Coboundary δ⁰(f)(a,b) = f(b) - f(a). Satisfies δ² = 0 (alternating sum identity).

Statement

No manuscript statement was extracted in this pilot run.

Proof / Justification

This item is definitional. No manuscript proof is required.

Source Context

  • Registry source: book-02.jsonl line 212
  • Manuscript source: not matched

Lean / Formalization Notes

  • Formalization: formalized
  • Module: TauLib.BookII.CentralTheorem.SheafCohomology
  • Name: cech_coboundary_0

Dependencies

  • Canonical: II.D84, II.D47

Generated by later projection phases.

Generated by later projection phases.

Revision Notes

  • 2026-04-24: Initial pilot migration.

Identifiers

  • Corpus ID cid001320
  • Primary alias DEF0194
  • Type Definition
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

II.D86ech-complexdef:cech-complex

Release lines

corpus_v3_workingcorpus_v2

Relations

Formalized by (2)

Appears in (1)

Downstream uses (computed) (4)

Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.

Sources

  • Monograph cid000001Book II, Part 9, Chapter 50 (Wave M5)

Version & History

  • v1 · 2026-05-10 imported from v2 registry
  • v1 · 2026-05-10 wired formalized by in wave 5

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

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