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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 wikiPageLength "4514".
- Invariance_of_domain wikiPageOutDegree "29".
- Invariance_of_domain wikiPageRevisionID "663067043".
- Invariance_of_domain wikiPageWikiLink Algebraic_topology.
- Invariance_of_domain wikiPageWikiLink Banach_space.
- Invariance_of_domain wikiPageWikiLink Brouwer_fixed-point_theorem.
- Invariance_of_domain wikiPageWikiLink Brouwer_fixed_point_theorem.
- Invariance_of_domain wikiPageWikiLink Category:Algebraic_topology.
- Invariance_of_domain wikiPageWikiLink Category:Homeomorphisms.
- Invariance_of_domain wikiPageWikiLink Category:Theorems_in_topology.
- Invariance_of_domain wikiPageWikiLink Continuous_function.
- Invariance_of_domain wikiPageWikiLink Continuous_map.
- Invariance_of_domain wikiPageWikiLink Domain_of_a_function.
- Invariance_of_domain wikiPageWikiLink Euclidean_space.
- Invariance_of_domain wikiPageWikiLink Homeomorphic.
- Invariance_of_domain wikiPageWikiLink Homeomorphism.
- Invariance_of_domain wikiPageWikiLink Injective.
- Invariance_of_domain wikiPageWikiLink Injective_function.
- Invariance_of_domain wikiPageWikiLink Interval_(mathematics).
- Invariance_of_domain wikiPageWikiLink Inverse_function.
- Invariance_of_domain wikiPageWikiLink L._E._J._Brouwer.
- Invariance_of_domain wikiPageWikiLink Local_homeomorphism.
- Invariance_of_domain wikiPageWikiLink Lp_space.
- Invariance_of_domain wikiPageWikiLink Manifold.
- Invariance_of_domain wikiPageWikiLink Neighborhood_(topology).
- Invariance_of_domain wikiPageWikiLink Neighbourhood_(mathematics).
- Invariance_of_domain wikiPageWikiLink Open_and_closed_maps.
- Invariance_of_domain wikiPageWikiLink Open_map.
- Invariance_of_domain wikiPageWikiLink Open_mapping_theorem.
- Invariance_of_domain wikiPageWikiLink Open_set.
- Invariance_of_domain wikiPageWikiLink Range_(mathematics).
- Invariance_of_domain wikiPageWikiLink Sequence.
- Invariance_of_domain wikiPageWikiLink Subset.
- Invariance_of_domain wikiPageWikiLink Topology.
- Invariance_of_domain wikiPageWikiLink File:A_map_which_is_not_a_homeomorphism_onto_its_image.png.
- Invariance_of_domain wikiPageWikiLinkText "Invariance of domain".
- Invariance_of_domain wikiPageWikiLinkText "invariance of domain".
- Invariance_of_domain wikiPageWikiLinkText "topological invariance of dimension".
- 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 wikiPageUsesTemplate Template:SpringerEOM.
- Invariance_of_domain subject Category:Algebraic_topology.
- Invariance_of_domain subject Category:Homeomorphisms.
- Invariance_of_domain subject Category:Theorems_in_topology.
- Invariance_of_domain hypernym Theorem.
- Invariance_of_domain type Homeomorphism.
- Invariance_of_domain type Mapping.
- Invariance_of_domain type Morphism.
- Invariance_of_domain type Theorem.
- 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 sameAs Thxc3xa9orxc3xa8me_de_linvariance_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 wasDerivedFrom Invariance_of_domain?oldid=663067043.
- Invariance_of_domain depiction A_map_which_is_not_a_homeomorphism_onto_its_image.png.
- Invariance_of_domain isPrimaryTopicOf Invariance_of_domain.