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Brouwer: mapping manifolds and the fixed-point theorem

Contribution grade

Topology · THEOREM

Reference score320,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Established the finite-dimensional self-map fixed-point result through topological mapping arguments.

Scientific scope

The record is Brouwer's sole-author 1911 paper and its stated topological result. It does not absorb later combinatorial proofs, Kakutani's set-valued theorem or infinite-dimensional extensions.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is Brouwer's sole-author 1911 paper and its stated topological result. It does not absorb later combinatorial proofs, Kakutani's set-valued theorem or infinite-dimensional extensions.

Contributors

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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