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path-connected

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  • Connected space — For other uses, see Connection (disambiguation). Connected and disconnected subspaces of R² The green space A at top is simply connected whereas the blue space B below is not connected …   Wikipedia

  • Connected space/Proofs — Every path connected space is connectedLet S be path connected and suppose, for contradiction, that S is not connected. Then S = A cup B for nonempty disjoint open sets A and B . Let x in A, y in B. Since S is path connected, there exists a… …   Wikipedia

  • Path (topology) — The points traced by a path from A to B in R². However, different paths can trace the same set of points. In mathematics, a path in a topological space X is a continuous map f from the unit interval I = [0,1] to X f : I → X. The initial… …   Wikipedia

  • PATH (Toronto) — PATH Location Toronto, Ontario, Canada Opening date 1900 first pedestrian tunnel in Toronto 1960 70s construction begins of underground shopping concourses and linkages 1987 City becomes coordinating agency of network …   Wikipedia

  • Connected Health — is a term used to describe a model for healthcare delivery that uses technology to provide healthcare remotely. Connected health aims to maximize healthcare resources and provide increased, flexible opportunities for consumers to engage with… …   Wikipedia

  • Path 46 — Path 46, also called West of Colorado River, Arizona California West of the River Path (WOR), is a set of many high voltage electrical power transmission lines that are located in southeast California and Nevada up to the Colorado River. This… …   Wikipedia

  • Connected component (graph theory) — A graph with three connected components. In graph theory, a connected component of an undirected graph is a subgraph in which any two vertices are connected to each other by paths, and which is connected to no additional vertices. For example,… …   Wikipedia

  • Connected dominating set — In graph theory, a connected dominated set and a maximum leaf spanning tree are two closely related structures defined on an undirected graph. Contents 1 Definitions 2 Complementarity 3 Algorithms 4 Applic …   Wikipedia

  • Path Valley Railroad — The Path Valley Railroad was a proposed narrow gauge railroad in Perry and Franklin Counties, Pennsylvania.Intended as an extension of the Newport and Shermans Valley Railroad, it was to begin at that railroad s terminus in New Germantown and run …   Wikipedia

  • path·way — /ˈpæθˌweı, Brit ˈpɑːθˌweı/ noun, pl ways [count] : ↑path We walked along a winding pathway. a pathway to success (technical) a neural pathway [=a series …   Useful english dictionary

  • connected surface — noun mathematics : a surface from any point of which a continuous path can be drawn to any other point of it without crossing its boundary …   Useful english dictionary

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