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- Invariance_of_domain abstract "Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space Rn. It states: If U is an open subset of Rn and f : U → Rn is an injective continuous map, then V = f(U) is open and f is a homeomorphism between U and V.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.".
- Invariance_of_domain thumbnail A_map_which_is_not_a_homeomorphism_onto_its_image.png?width=300.
- Invariance_of_domain wikiPageID "210731".
- Invariance_of_domain wikiPageRevisionID "595258700".
- Invariance_of_domain first "J. van".
- Invariance_of_domain hasPhotoCollection Invariance_of_domain.
- Invariance_of_domain id "Domain_invariance".
- Invariance_of_domain last "Mill".
- Invariance_of_domain oldid "16623".
- Invariance_of_domain title "Domain invariance".
- Invariance_of_domain subject Category:Algebraic_topology.
- Invariance_of_domain subject Category:Homeomorphisms.
- Invariance_of_domain subject Category:Theorems_in_topology.
- Invariance_of_domain type Abstraction100002137.
- Invariance_of_domain type Communication100033020.
- Invariance_of_domain type Message106598915.
- Invariance_of_domain type Proposition106750804.
- Invariance_of_domain type Statement106722453.
- Invariance_of_domain type Theorem106752293.
- Invariance_of_domain type TheoremsInTopology.
- Invariance_of_domain comment "Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space Rn. It states: If U is an open subset of Rn and f : U → Rn is an injective continuous map, then V = f(U) is open and f is a homeomorphism between U and V.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.".
- Invariance_of_domain label "Invariance of domain".
- Invariance_of_domain label "Théorème de l'invariance du domaine".
- Invariance_of_domain label "Twierdzenie Brouwera o zachowaniu otwartości".
- Invariance_of_domain sameAs Théorème_de_l'invariance_du_domaine.
- Invariance_of_domain sameAs Twierdzenie_Brouwera_o_zachowaniu_otwartości.
- Invariance_of_domain sameAs m.01dxws.
- Invariance_of_domain sameAs Q3527201.
- Invariance_of_domain sameAs Q3527201.
- Invariance_of_domain sameAs Invariance_of_domain.
- Invariance_of_domain wasDerivedFrom Invariance_of_domain?oldid=595258700.
- Invariance_of_domain depiction A_map_which_is_not_a_homeomorphism_onto_its_image.png.
- Invariance_of_domain isPrimaryTopicOf Invariance_of_domain.