Invariance of domain

A map which is not a homeomorphism onto its image: g : (−1.1, 1) → R2 with g(t) = (t2 − 1, t3 − t)

Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space R. It states:

The theorem and its proof are due to L. E. J. Brouwer, published in 1912. The proof uses tools of algebraic topology, notably the Brouwer fixed point theorem.

单词	Invariance of domain
释义	Invariance of domain 英语百科 Invariance of domain Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space R. It states: The theorem and its proof are due to L. E. J. Brouwer, published in 1912. The proof uses tools of algebraic topology, notably the Brouwer fixed point theorem.
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