The Unapologetic Mathematician

Mathematics for the interested outsider

Coordinate Patches

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February 23, 2011 - Posted by | Differential Topology, Topology

3 Comments »

  1. […] thought to be sure about. Specifically, our definition says that each point is contained in some coordinate patch , which comes with a coordinate map . But does the here have to be the same for all points […]

    Pingback by The Dimension of a Manifold « The Unapologetic Mathematician | February 24, 2011 | Reply

  2. […] and be two coordinate patches on an -manifold . We can restrict each coordinate map to the intersection of the two patches […]

    Pingback by Classes of Manifolds « The Unapologetic Mathematician | February 25, 2011 | Reply

  3. […] say we have a coordinate patch around a point in an -dimensional manifold . We can use the function to give us some tangent […]

    Pingback by Tangent Vectors and Coordinates « The Unapologetic Mathematician | March 30, 2011 | Reply


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