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- 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 a closed annulus removed, as well as the union of two disjoint open disks in two-dimensional Euclidean space.".
- Connected_space thumbnail Simply_connected,_connected,_and_non-connected_spaces.svg?width=300.
- Connected_space wikiPageID "6233".
- Connected_space wikiPageRevisionID "604520940".
- Connected_space align "right".
- Connected_space author "V. I. Malykhin".
- Connected_space caption "From top to bottom: red space A, pink space B, yellow space C and orange space D are all connected, whereas green space E is not connected. Furthermore, A and B are also simply connected , while C and D are not: C has genus 1 and D has genus 4.".
- Connected_space direction "vertical".
- Connected_space hasPhotoCollection Connected_space.
- Connected_space header "Connected and disconnected subspaces of R²".
- Connected_space image "Simply connected, connected, and non-connected spaces.svg".
- Connected_space title "Connected Set".
- Connected_space urlname "ConnectedSet".
- Connected_space urlname "Connected_space".
- Connected_space width "200".
- Connected_space subject Category:General_topology.
- Connected_space subject Category:Properties_of_topological_spaces.
- Connected_space type Abstraction100002137.
- Connected_space type Possession100032613.
- Connected_space type PropertiesOfTopologicalSpaces.
- Connected_space type Property113244109.
- Connected_space type Relation100031921.
- Connected_space comment "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.".
- Connected_space label "Conexidade".
- Connected_space label "Conjunto conexo".
- Connected_space label "Connected space".
- Connected_space label "Connexité (mathématiques)".
- Connected_space label "Przestrzeń spójna".
- Connected_space label "Samenhang".
- Connected_space label "Spazio connesso".
- Connected_space label "Zusammenhängender Raum".
- Connected_space label "Связное пространство".
- Connected_space label "فضاء متصل".
- Connected_space label "连通空间".
- Connected_space label "連結空間".
- Connected_space sameAs Souvislá_množina.
- Connected_space sameAs Zusammenhängender_Raum.
- Connected_space sameAs Conjunto_conexo.
- Connected_space sameAs Connexité_(mathématiques).
- Connected_space sameAs Spazio_connesso.
- Connected_space sameAs 連結空間.
- Connected_space sameAs 연결공간.
- Connected_space sameAs Samenhang.
- Connected_space sameAs Przestrzeń_spójna.
- Connected_space sameAs Conexidade.
- Connected_space sameAs m.01vnt.
- Connected_space sameAs Q1491995.
- Connected_space sameAs Q1491995.
- Connected_space sameAs Connected_space.
- Connected_space wasDerivedFrom Connected_space?oldid=604520940.
- Connected_space depiction Simply_connected,_connected,_and_non-connected_spaces.svg.
- Connected_space isPrimaryTopicOf Connected_space.