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- Degree_of_a_continuous_mapping abstract "In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping. The degree is always an integer, but may be positive or negative depending on the orientations.The degree of a map was first defined by Brouwer, who showed that the degree is homotopy invariant (invariant among homotopies), and used it to prove the Brouwer fixed point theorem. In modern mathematics, the degree of a map plays an important role in topology and geometry. In physics, the degree of a continuous map (for instance a map from space to some order parameter set) is one example of a topological quantum number.".
- Degree_of_a_continuous_mapping thumbnail Sphere_wrapped_round_itself.png?width=300.
- Degree_of_a_continuous_mapping wikiPageExternalLink topdeg.
- Degree_of_a_continuous_mapping wikiPageID "3094450".
- Degree_of_a_continuous_mapping wikiPageLength "9670".
- Degree_of_a_continuous_mapping wikiPageOutDegree "49".
- Degree_of_a_continuous_mapping wikiPageRevisionID "674243023".
- Degree_of_a_continuous_mapping wikiPageWikiLink Boundary_(topology).
- Degree_of_a_continuous_mapping wikiPageWikiLink Brouwer_fixed-point_theorem.
- Degree_of_a_continuous_mapping wikiPageWikiLink Brouwer_fixed_point_theorem.
- Degree_of_a_continuous_mapping wikiPageWikiLink Category:Algebraic_topology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Category:Continuous_mappings.
- Degree_of_a_continuous_mapping wikiPageWikiLink Category:Differential_topology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Compact_space.
- Degree_of_a_continuous_mapping wikiPageWikiLink Connected_space.
- Degree_of_a_continuous_mapping wikiPageWikiLink Continuous_function.
- Degree_of_a_continuous_mapping wikiPageWikiLink Continuous_function_(topology).
- Degree_of_a_continuous_mapping wikiPageWikiLink Continuous_map.
- Degree_of_a_continuous_mapping wikiPageWikiLink Covering_map.
- Degree_of_a_continuous_mapping wikiPageWikiLink Covering_number.
- Degree_of_a_continuous_mapping wikiPageWikiLink Covering_space.
- Degree_of_a_continuous_mapping wikiPageWikiLink De_Rham_cohomology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Density_(polytope).
- Degree_of_a_continuous_mapping wikiPageWikiLink Diffeomorphism.
- Degree_of_a_continuous_mapping wikiPageWikiLink Differential_form.
- Degree_of_a_continuous_mapping wikiPageWikiLink Dimension.
- Degree_of_a_continuous_mapping wikiPageWikiLink Domain_of_a_function.
- Degree_of_a_continuous_mapping wikiPageWikiLink Fundamental_class.
- Degree_of_a_continuous_mapping wikiPageWikiLink GF(2).
- Degree_of_a_continuous_mapping wikiPageWikiLink Geometry.
- Degree_of_a_continuous_mapping wikiPageWikiLink Homology_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Homology_group.
- Degree_of_a_continuous_mapping wikiPageWikiLink Homotopy.
- Degree_of_a_continuous_mapping wikiPageWikiLink Hopf_theorem.
- Degree_of_a_continuous_mapping wikiPageWikiLink Integer.
- Degree_of_a_continuous_mapping wikiPageWikiLink Invariant_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Jacobi_matrix.
- Degree_of_a_continuous_mapping wikiPageWikiLink L._E._J._Brouwer.
- Degree_of_a_continuous_mapping wikiPageWikiLink Luitzen_Egbertus_Jan_Brouwer.
- Degree_of_a_continuous_mapping wikiPageWikiLink Manifold.
- Degree_of_a_continuous_mapping wikiPageWikiLink N-sphere.
- Degree_of_a_continuous_mapping wikiPageWikiLink Orientability.
- Degree_of_a_continuous_mapping wikiPageWikiLink Orientation_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Orientation_(vector_space).
- Degree_of_a_continuous_mapping wikiPageWikiLink Physics.
- Degree_of_a_continuous_mapping wikiPageWikiLink Range_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Region_(mathematical_analysis).
- Degree_of_a_continuous_mapping wikiPageWikiLink Region_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Regular_value.
- Degree_of_a_continuous_mapping wikiPageWikiLink Relative_homology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Singular_homology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Submersion_(mathematics).
- Degree_of_a_continuous_mapping wikiPageWikiLink Topological_degree_theory.
- Degree_of_a_continuous_mapping wikiPageWikiLink Topological_quantum_number.
- Degree_of_a_continuous_mapping wikiPageWikiLink Topology.
- Degree_of_a_continuous_mapping wikiPageWikiLink Winding_number.
- Degree_of_a_continuous_mapping wikiPageWikiLink File:Sphere_wrapped_round_itself.png.
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "Degree of a continuous mapping".
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "continuous maps between manifolds".
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "degree of a continuous mapping".
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "degree".
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "topological degree".
- Degree_of_a_continuous_mapping wikiPageWikiLinkText "windings".
- Degree_of_a_continuous_mapping hasPhotoCollection Degree_of_a_continuous_mapping.
- Degree_of_a_continuous_mapping id "p/b130260".
- Degree_of_a_continuous_mapping title "Brouwer degree".
- Degree_of_a_continuous_mapping wikiPageUsesTemplate Template:About.
- Degree_of_a_continuous_mapping wikiPageUsesTemplate Template:Cite_book.
- Degree_of_a_continuous_mapping wikiPageUsesTemplate Template:Reflist.
- Degree_of_a_continuous_mapping wikiPageUsesTemplate Template:Springer.
- Degree_of_a_continuous_mapping subject Category:Algebraic_topology.
- Degree_of_a_continuous_mapping subject Category:Continuous_mappings.
- Degree_of_a_continuous_mapping subject Category:Differential_topology.
- Degree_of_a_continuous_mapping hypernym Number.
- Degree_of_a_continuous_mapping type Function.
- Degree_of_a_continuous_mapping type Mapping.
- Degree_of_a_continuous_mapping type Physic.
- Degree_of_a_continuous_mapping type Thing.
- Degree_of_a_continuous_mapping comment "In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping.".
- Degree_of_a_continuous_mapping label "Degree of a continuous mapping".
- Degree_of_a_continuous_mapping sameAs Abbildungsgrad.
- Degree_of_a_continuous_mapping sameAs Degrxc3xa9_dune_application.
- Degree_of_a_continuous_mapping sameAs Grado_topologico.
- Degree_of_a_continuous_mapping sameAs 写像度.
- Degree_of_a_continuous_mapping sameAs 연속함수의_차수.
- Degree_of_a_continuous_mapping sameAs Stopień_Brouwera.
- Degree_of_a_continuous_mapping sameAs m.08r0z9.
- Degree_of_a_continuous_mapping sameAs Степень_отображения.
- Degree_of_a_continuous_mapping sameAs Derece_(Topoloji).
- Degree_of_a_continuous_mapping sameAs Q306564.
- Degree_of_a_continuous_mapping sameAs Q306564.
- Degree_of_a_continuous_mapping sameAs 映射度.
- Degree_of_a_continuous_mapping wasDerivedFrom Degree_of_a_continuous_mapping?oldid=674243023.
- Degree_of_a_continuous_mapping depiction Sphere_wrapped_round_itself.png.
- Degree_of_a_continuous_mapping isPrimaryTopicOf Degree_of_a_continuous_mapping.