What is recorded here?
Proved invariance of domain: a continuous injective map between equal-dimensional Euclidean domains has open image and is a homeomorphism onto that image.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
Read the original work
- Springer DOI record for Brouwer invariance-of-domain paper
- Numdam historical bibliography of Brouwer dimension theory
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People and systems
L. E. J. Brouwer
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: Netherlands
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English catalogue narrative
Brouwer: invariance of the n-dimensional domain
Proved invariance of domain: a continuous injective map between equal-dimensional Euclidean domains has open image and is a homeomorphism onto that image.
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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
L. E. J. Brouwer
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.