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  1. P

    Differential Topology

    Perhaps, but the interior of the sphere is bounded, and the space exterior to the sphere is unbounded, correct? So a differential manifold is a vector space of at most (n-1) dimensions, embeded in a vector space of n (or more) dimensions?
  2. P

    Differential Topology

    I have what's certainly a totally "newbie" question, but it's something I've been wondering about.. Suppose we have a simple boundary value problem from electrostatics. For instance, suppose we have a conducting sphere held at some potential, \phi = \phi_0. Because the sphere is conducting...
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