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I need to find homology groups for the following simplicial complex:

$RP^2$ # $RP^2$ # $\Delta$ # $\Delta$

How to do it? If I am not mistaken, $RP^2$ is not orientable - so we cannot just sum the groups.

How to solve the problem?

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    What is $\Delta$?2011-05-10
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    You can use the Mayer Vietoris sequence. Not sure what you mean by "not orientable --> we cannot sum the groups". Summing the groups generally works only if the intersection has trivial homology.2011-05-10
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    $\Delta$ is a triangle/disk. 2-dimensional simplex.2011-05-10

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