Poincaré: Analysis Situs

What changed

Developed invariants and constructions for manifolds, including homology, Betti numbers and the fundamental group, helping establish algebraic topology as a systematic field.

Scientific scope

The record is the exact 1895 Journal de l’École Polytechnique memoir. Its five supplements, the Poincaré conjecture, later rigorous homology theories and modern manifold topology remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1895 Journal de l’École Polytechnique memoir. Its five supplements, the Poincaré conjecture, later rigorous homology theories and modern manifold topology remain separate.

Contributors

• Henri Poincaré · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• CNRS Analysis Situs edition and commentary
• Henri Poincaré Papers bibliography for Analysis Situs

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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