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Brouwer: invariance of the n-dimensional domain

Contribution grade

Topology · THEOREM

Reference score390,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Proved invariance of domain for continuous one-to-one maps between equal-dimensional Euclidean regions.

Scientific scope

The record is Brouwer's sole-author 1911 paper and its finite-dimensional topological theorem. It does not absorb his invariance-of-dimension paper, later generalizations, or all of algebraic topology.

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 finite-dimensional topological theorem. It does not absorb his invariance-of-dimension paper, later generalizations, or all of algebraic topology.

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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