Milnor: manifolds homeomorphic to the 7-sphere

What changed

Constructed seven-manifolds homeomorphic but not diffeomorphic to the standard sphere.

Scientific scope

The record is Milnor’s sole-author 1956 Annals of Mathematics paper, pages 399–405. It does not absorb later classification of homotopy spheres, surgery theory, higher-dimensional results or every exotic manifold.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Milnor’s sole-author 1956 Annals of Mathematics paper, pages 399–405. It does not absorb later classification of homotopy spheres, surgery theory, higher-dimensional results or every exotic manifold.

Contributors

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

• JSTOR record for Milnor seven-sphere paper
• DOI record for Milnor seven-sphere 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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