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Euler Characteristic

  1. May 1, 2010 #1

    lavinia

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    The Euler Characterisitc can be computed from the dimensions of the Z homology of a space.
    Are there any other invariants that can be computed from the dimensions of the Z homology?
     
  2. jcsd
  3. May 8, 2010 #2
    How about the Betti Number.?
     
  4. May 10, 2010 #3

    lavinia

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    yes - the Euler Characteristic is the alternating sum of the Betti numbers.
     
  5. May 10, 2010 #4
    I'm not sure one could say the betti numbers are computed using the dimensions of the Z homology :smile:
     
  6. May 13, 2010 #5

    lavinia

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    right - the betti numbers are the dimensions
     
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