Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Covering_space> ?p ?o }
- Covering_space abstract "In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below. In this case, C is called a covering space and X the base space of the covering projection. The definition implies that every covering map is a local homeomorphism.Covering spaces play an important role in homotopy theory, harmonic analysis, Riemannian geometry and differential topology. In Riemannian geometry for example, ramification is a generalization of the notion of covering maps. Covering spaces are also deeply intertwined with the study of homotopy groups and, in particular, the fundamental group. An important application comes from the result that, if X is a "sufficiently good" topological space, there is a bijection between the collection of all isomorphism classes of connected coverings of X and the conjugacy classes of subgroups of the fundamental group of X.".
- Covering_space thumbnail Covering_space_diagram.svg?width=300.
- Covering_space wikiPageExternalLink topgpds.html.
- Covering_space wikiPageExternalLink ATpage.html.
- Covering_space wikiPageExternalLink tr7abs.html.
- Covering_space wikiPageExternalLink www.
- Covering_space wikiPageID "250323".
- Covering_space wikiPageLength "38005".
- Covering_space wikiPageOutDegree "179".
- Covering_space wikiPageRevisionID "683712693".
- Covering_space wikiPageWikiLink Aerospace_engineering.
- Covering_space wikiPageWikiLink Algebraic_topology.
- Covering_space wikiPageWikiLink Analytic_continuation.
- Covering_space wikiPageWikiLink Analytic_function.
- Covering_space wikiPageWikiLink Analytic_functions.
- Covering_space wikiPageWikiLink Augmentation_(algebra).
- Covering_space wikiPageWikiLink Augmentation_map.
- Covering_space wikiPageWikiLink Bethe_lattice.
- Covering_space wikiPageWikiLink Bijection.
- Covering_space wikiPageWikiLink Bipartite_double_cover.
- Covering_space wikiPageWikiLink CW_complex.
- Covering_space wikiPageWikiLink Cardinality.
- Covering_space wikiPageWikiLink Category:Algebraic_topology.
- Covering_space wikiPageWikiLink Category:Fiber_bundles.
- Covering_space wikiPageWikiLink Category:Homotopy_theory.
- Covering_space wikiPageWikiLink Category:Topological_graph_theory.
- Covering_space wikiPageWikiLink Cayley_graph.
- Covering_space wikiPageWikiLink Cell_complex.
- Covering_space wikiPageWikiLink Centralizer_and_normalizer.
- Covering_space wikiPageWikiLink Charts_on_SO(3).
- Covering_space wikiPageWikiLink Classifying_space.
- Covering_space wikiPageWikiLink Closed_timelike_curve.
- Covering_space wikiPageWikiLink Conjugacy_class.
- Covering_space wikiPageWikiLink Connected_space.
- Covering_space wikiPageWikiLink Connectedness.
- Covering_space wikiPageWikiLink Continuous_function.
- Covering_space wikiPageWikiLink Continuous_function_(topology).
- Covering_space wikiPageWikiLink Countable.
- Covering_space wikiPageWikiLink Countable_set.
- Covering_space wikiPageWikiLink Cover_(topology).
- Covering_space wikiPageWikiLink Covering_graph.
- Covering_space wikiPageWikiLink Covering_group.
- Covering_space wikiPageWikiLink Covering_space.
- Covering_space wikiPageWikiLink Cyclic_group.
- Covering_space wikiPageWikiLink Diamond_cubic.
- Covering_space wikiPageWikiLink Differential_topology.
- Covering_space wikiPageWikiLink Dipole_graph.
- Covering_space wikiPageWikiLink Discrete_group.
- Covering_space wikiPageWikiLink Discrete_space.
- Covering_space wikiPageWikiLink Discrete_topology.
- Covering_space wikiPageWikiLink Disjoint_union.
- Covering_space wikiPageWikiLink Dual_(category_theory).
- Covering_space wikiPageWikiLink Euler_angles.
- Covering_space wikiPageWikiLink Exceptional_isomorphism.
- Covering_space wikiPageWikiLink Fiber_(mathematics).
- Covering_space wikiPageWikiLink Fixed_point_(mathematics).
- Covering_space wikiPageWikiLink Free_abelian_group.
- Covering_space wikiPageWikiLink Free_module.
- Covering_space wikiPageWikiLink Free_resolution.
- Covering_space wikiPageWikiLink Function_(mathematics).
- Covering_space wikiPageWikiLink Function_composition.
- Covering_space wikiPageWikiLink Fundamental_group.
- Covering_space wikiPageWikiLink Fundamental_groupoid.
- Covering_space wikiPageWikiLink Fundamental_groups.
- Covering_space wikiPageWikiLink Galois_connection.
- Covering_space wikiPageWikiLink Gimbal.
- Covering_space wikiPageWikiLink Gimbal_lock.
- Covering_space wikiPageWikiLink Graph_(mathematics).
- Covering_space wikiPageWikiLink Group_action.
- Covering_space wikiPageWikiLink Group_cohomology.
- Covering_space wikiPageWikiLink Group_isomorphism.
- Covering_space wikiPageWikiLink Group_representation.
- Covering_space wikiPageWikiLink Groupoid.
- Covering_space wikiPageWikiLink Groupoids.
- Covering_space wikiPageWikiLink Harmonic_analysis.
- Covering_space wikiPageWikiLink Hawaiian_earring.
- Covering_space wikiPageWikiLink Holomorphic_function.
- Covering_space wikiPageWikiLink Homeomorphism.
- Covering_space wikiPageWikiLink Homotopy.
- Covering_space wikiPageWikiLink Homotopy_class.
- Covering_space wikiPageWikiLink Homotopy_group.
- Covering_space wikiPageWikiLink Homotopy_theory.
- Covering_space wikiPageWikiLink If_and_only_if.
- Covering_space wikiPageWikiLink Image_(mathematics).
- Covering_space wikiPageWikiLink Index_of_a_subgroup.
- Covering_space wikiPageWikiLink Induced_homomorphism.
- Covering_space wikiPageWikiLink Inverse_image.
- Covering_space wikiPageWikiLink Irwin_Kra.
- Covering_space wikiPageWikiLink Kernel_(algebra).
- Covering_space wikiPageWikiLink Klein_bottle.
- Covering_space wikiPageWikiLink Lie_group.
- Covering_space wikiPageWikiLink Local_diffeomorphism.
- Covering_space wikiPageWikiLink Local_homeomorphism.
- Covering_space wikiPageWikiLink Locally_connected_space.
- Covering_space wikiPageWikiLink Locally_path-connected.
- Covering_space wikiPageWikiLink Locally_path_connected.
- Covering_space wikiPageWikiLink Lorentzian_manifold.
- Covering_space wikiPageWikiLink Manifold.
- Covering_space wikiPageWikiLink Marine_engineering.
- Covering_space wikiPageWikiLink Mathematics.