Homology groups from Homotopy groups

[wodhas]

Hi,

I am trying to compute homology groups of a space while some of the homotopy groups are known..what is the best way to do that.

I hope that you can help.

Thanks,
Sandra

[wofsy]

get more specific

[wodhas]

OK,

I have the first 3 Homotopy groups which are generically non-trivial and I need to compute H_3

[zhentil]

There's no way to do it in general. Looking at the two-sphere, you get an idea how complicated this relationship can be.