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Homework Help: Is the general linear group compact?

  1. Feb 11, 2008 #1
    1. The problem statement, all variables and given/known data
    Is the general linear group over the complex numbers compact?


    3. The attempt at a solution
    I have a feeling it is not. It is not bounded.
     
  2. jcsd
  3. Feb 11, 2008 #2

    morphism

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    Science Advisor
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    Correct. It's also not closed.
     
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