Freedman: topology of four-dimensional manifolds

What changed

Proved topological four-manifold existence/classification results through intersection-form methods, including the topological four-dimensional Poincare consequence.

Scientific scope

The record is Freedman's sole-author 1982 Journal of Differential Geometry paper. It concerns topological four-manifolds under the paper's hypotheses; smooth classification, Donaldson theory and later refinements remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Freedman's sole-author 1982 Journal of Differential Geometry paper. It concerns topological four-manifolds under the paper's hypotheses; smooth classification, Donaldson theory and later refinements remain separate.

Contributors

• Michael H. Freedman · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Project Euclid record for Freedman four-manifolds paper
• Crossref metadata for Freedman paper

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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