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- Branched_manifold abstract "In mathematics, a branched manifold is a generalization of a differentiable manifold which may have singularities of very restricted type and admits a well-defined tangent space at each point. A branched n-manifold is covered by n-dimensional "coordinate charts", each of which involves one or several "branches" homeomorphically projecting into the same differentiable n-disk in Rn. Branched manifolds first appeared in the dynamical systems theory, in connection with one-dimensional hyperbolic attractors constructed by Smale and were formalized by R. F. Williams in a series of papers on expanding attractors. Special cases of low dimensions are known as train tracks (n = 1) and branched surfaces (n = 2) and play prominent role in the geometry of three-manifolds after Thurston.".
- Branched_manifold wikiPageExternalLink item?id=PMIHES_1974__43__169_0.
- Branched_manifold wikiPageID "1277369".
- Branched_manifold wikiPageLength "4815".
- Branched_manifold wikiPageOutDegree "28".
- Branched_manifold wikiPageRevisionID "607158192".
- Branched_manifold wikiPageWikiLink 3-manifold.
- Branched_manifold wikiPageWikiLink Attractor.
- Branched_manifold wikiPageWikiLink Branched_surface.
- Branched_manifold wikiPageWikiLink Category:Generalized_manifolds.
- Branched_manifold wikiPageWikiLink Closed_set.
- Branched_manifold wikiPageWikiLink Closed_subset.
- Branched_manifold wikiPageWikiLink Diffeomorphism.
- Branched_manifold wikiPageWikiLink Differentiable_function.
- Branched_manifold wikiPageWikiLink Differentiable_manifold.
- Branched_manifold wikiPageWikiLink Differentiable_map.
- Branched_manifold wikiPageWikiLink Differential_topology.
- Branched_manifold wikiPageWikiLink Dynamical_systems_theory.
- Branched_manifold wikiPageWikiLink Euclidean_space.
- Branched_manifold wikiPageWikiLink Germ_(mathematics).
- Branched_manifold wikiPageWikiLink Graph_(mathematics).
- Branched_manifold wikiPageWikiLink Homeomorphism.
- Branched_manifold wikiPageWikiLink Hyperbolic_set.
- Branched_manifold wikiPageWikiLink Jet_bundle.
- Branched_manifold wikiPageWikiLink Jet_space.
- Branched_manifold wikiPageWikiLink Mathematics.
- Branched_manifold wikiPageWikiLink Metrizable_space.
- Branched_manifold wikiPageWikiLink Metrization_theorem.
- Branched_manifold wikiPageWikiLink Pushforward_(differential).
- Branched_manifold wikiPageWikiLink Stephen_Smale.
- Branched_manifold wikiPageWikiLink Surface.
- Branched_manifold wikiPageWikiLink Tangent_space.
- Branched_manifold wikiPageWikiLink Three-manifold.
- Branched_manifold wikiPageWikiLink Train_track_(mathematics).
- Branched_manifold wikiPageWikiLink Vector_space.
- Branched_manifold wikiPageWikiLink William_Thurston.
- Branched_manifold wikiPageWikiLinkText "Branched manifold".
- Branched_manifold wikiPageWikiLinkText "branched manifold".
- Branched_manifold hasPhotoCollection Branched_manifold.
- Branched_manifold subject Category:Generalized_manifolds.
- Branched_manifold hypernym Generalization.
- Branched_manifold comment "In mathematics, a branched manifold is a generalization of a differentiable manifold which may have singularities of very restricted type and admits a well-defined tangent space at each point. A branched n-manifold is covered by n-dimensional "coordinate charts", each of which involves one or several "branches" homeomorphically projecting into the same differentiable n-disk in Rn.".
- Branched_manifold label "Branched manifold".
- Branched_manifold sameAs m.064r8_b.
- Branched_manifold sameAs Q4956412.
- Branched_manifold sameAs Q4956412.
- Branched_manifold wasDerivedFrom Branched_manifold?oldid=607158192.
- Branched_manifold isPrimaryTopicOf Branched_manifold.