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Topic: What is the homology groups of the torus with a sphere inside?
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Rafael Chavez

Posts: 3
Registered: 1/10/13
What is the homology groups of the torus with a sphere inside?
Posted: Jan 24, 2013 3:56 PM
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I'm trying to find the homology groups of this space X in this link below:

The easiest part is H_0(X)=Z, because X is connected. In order to find H_1(X) I think the easiest method is finding its fundamental group, but I don't know the fundamental group of this space, it's my first problem.

My second problem is to find H_2(X), I don't know how to triangulate this picture and I don't know how to use Mayer-Vietoris in this case.

I really need help here, any help or comment would be appreciated.

Thanks a lot

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