Euler Characteristic

1. May 1, 2010

lavinia

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. May 8, 2010

Bacle

How about the Betti Number.?

3. May 10, 2010

lavinia

yes - the Euler Characteristic is the alternating sum of the Betti numbers.

4. May 10, 2010

zhentil

I'm not sure one could say the betti numbers are computed using the dimensions of the Z homology

5. May 13, 2010

lavinia

right - the betti numbers are the dimensions