Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Connected_space> ?p ?o }
- Connected_space abstract "In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets. Connectedness is one of the principal topological properties that is used to distinguish topological spaces. A stronger notion is that of a path-connected space, which is a space where any two points can be joined by a path.A subset of a topological space X is a connected set if it is a connected space when viewed as a subspace of X.An example of a space that is not connected is a plane with an infinite line deleted from it. Other examples of disconnected spaces (that is, spaces which are not connected) include the plane with an annulus removed, as well as the union of two disjoint closed disks, where all examples of this paragraph bear the subspace topology induced by two-dimensional Euclidean space.".
- Connected_space thumbnail Simply_connected,_connected,_and_non-connected_spaces.svg?width=300.
- Connected_space wikiPageID "6233".
- Connected_space wikiPageLength "21113".
- Connected_space wikiPageOutDegree "107".
- Connected_space wikiPageRevisionID "681869276".
- Connected_space wikiPageWikiLink Annulus_(mathematics).
- Connected_space wikiPageWikiLink Base_(topology).
- Connected_space wikiPageWikiLink Boundary_(topology).
- Connected_space wikiPageWikiLink Cantor_set.
- Connected_space wikiPageWikiLink Category:General_topology.
- Connected_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- Connected_space wikiPageWikiLink Clopen.
- Connected_space wikiPageWikiLink Clopen_set.
- Connected_space wikiPageWikiLink Closed_set.
- Connected_space wikiPageWikiLink Closed_subset.
- Connected_space wikiPageWikiLink Closure_(topology).
- Connected_space wikiPageWikiLink Comb_space.
- Connected_space wikiPageWikiLink Complement_(set_theory).
- Connected_space wikiPageWikiLink Connected_component_(graph_theory).
- Connected_space wikiPageWikiLink Connectedness_locus.
- Connected_space wikiPageWikiLink Continuous_(topology).
- Connected_space wikiPageWikiLink Continuous_function.
- Connected_space wikiPageWikiLink Continuous_function_(topology).
- Connected_space wikiPageWikiLink Contractible_space.
- Connected_space wikiPageWikiLink Convex_set.
- Connected_space wikiPageWikiLink Cycle_graph.
- Connected_space wikiPageWikiLink Discrete_space.
- Connected_space wikiPageWikiLink Discrete_topological_space.
- Connected_space wikiPageWikiLink Discrete_two-point_space.
- Connected_space wikiPageWikiLink Discrete_valuation_ring.
- Connected_space wikiPageWikiLink Disjoint_set.
- Connected_space wikiPageWikiLink Disjoint_sets.
- Connected_space wikiPageWikiLink Disk_(mathematics).
- Connected_space wikiPageWikiLink Empty_set.
- Connected_space wikiPageWikiLink Equivalence_class.
- Connected_space wikiPageWikiLink Equivalence_relation.
- Connected_space wikiPageWikiLink Euclidean_space.
- Connected_space wikiPageWikiLink Extremally_disconnected_space.
- Connected_space wikiPageWikiLink Finite_topological_space.
- Connected_space wikiPageWikiLink Finitely_generated_projective_module.
- Connected_space wikiPageWikiLink General_linear_group.
- Connected_space wikiPageWikiLink Genus_(mathematics).
- Connected_space wikiPageWikiLink Graph_(mathematics).
- Connected_space wikiPageWikiLink Hausdorff_space.
- Connected_space wikiPageWikiLink Homeomorphism.
- Connected_space wikiPageWikiLink Homotopy.
- Connected_space wikiPageWikiLink Hyperconnected_space.
- Connected_space wikiPageWikiLink Idempotence.
- Connected_space wikiPageWikiLink Idempotent.
- Connected_space wikiPageWikiLink If_and_only_if.
- Connected_space wikiPageWikiLink Image_(mathematics).
- Connected_space wikiPageWikiLink Intermediate_value_theorem.
- Connected_space wikiPageWikiLink Interval_(mathematics).
- Connected_space wikiPageWikiLink Local_ring.
- Connected_space wikiPageWikiLink Locally_connected_space.
- Connected_space wikiPageWikiLink Long_line_(topology).
- Connected_space wikiPageWikiLink Manifold.
- Connected_space wikiPageWikiLink Mathematics.
- Connected_space wikiPageWikiLink Maximal_element.
- Connected_space wikiPageWikiLink N-connected.
- Connected_space wikiPageWikiLink Neighborhood_(topology).
- Connected_space wikiPageWikiLink Neighbourhood_(mathematics).
- Connected_space wikiPageWikiLink Nonempty.
- Connected_space wikiPageWikiLink Open_(topology).
- Connected_space wikiPageWikiLink Open_set.
- Connected_space wikiPageWikiLink Open_subset.
- Connected_space wikiPageWikiLink Partition_of_a_set.
- Connected_space wikiPageWikiLink Path_(topology).
- Connected_space wikiPageWikiLink Product_topology.
- Connected_space wikiPageWikiLink Projective_module.
- Connected_space wikiPageWikiLink Quotient_space.
- Connected_space wikiPageWikiLink Quotient_space_(topology).
- Connected_space wikiPageWikiLink Rational_number.
- Connected_space wikiPageWikiLink Real_line.
- Connected_space wikiPageWikiLink Real_number.
- Connected_space wikiPageWikiLink Separated_sets.
- Connected_space wikiPageWikiLink Set_difference.
- Connected_space wikiPageWikiLink Sierpiński_space.
- Connected_space wikiPageWikiLink Simply_connected_set.
- Connected_space wikiPageWikiLink Simply_connected_space.
- Connected_space wikiPageWikiLink Subset.
- Connected_space wikiPageWikiLink Subspace_(topology).
- Connected_space wikiPageWikiLink Subspace_topology.
- Connected_space wikiPageWikiLink Topological_graph_theory.
- Connected_space wikiPageWikiLink Topological_manifold.
- Connected_space wikiPageWikiLink Topological_properties.
- Connected_space wikiPageWikiLink Topological_property.
- Connected_space wikiPageWikiLink Topological_space.
- Connected_space wikiPageWikiLink Topological_vector_space.
- Connected_space wikiPageWikiLink Topologists_sine_curve.
- Connected_space wikiPageWikiLink Topology.
- Connected_space wikiPageWikiLink Totally_disconnected.
- Connected_space wikiPageWikiLink Totally_disconnected_space.
- Connected_space wikiPageWikiLink Uniformly_connected_space.
- Connected_space wikiPageWikiLink Union_(set_theory).
- Connected_space wikiPageWikiLink Unit_interval.
- Connected_space wikiPageWikiLink File:Connectedness-of-set-difference.png.
- Connected_space wikiPageWikiLink File:Disconnected-union-of-connected-sets.png.
- Connected_space wikiPageWikiLink File:Path-connected_space.svg.