Euler Characteristic

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  • #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?
 

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  • #2
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How about the Betti Number.?
 
  • #3
lavinia
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How about the Betti Number.?
yes - the Euler Characteristic is the alternating sum of the Betti numbers.
 
  • #4
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I'm not sure one could say the betti numbers are computed using the dimensions of the Z homology :smile:
 
  • #5
lavinia
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I'm not sure one could say the betti numbers are computed using the dimensions of the Z homology :smile:
right - the betti numbers are the dimensions
 

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