I need help calculating the second homology group of $\mathbb{R}P^2 \times S^1$. I found all the other homology groups using the Mayer-Vietoris sequence. Any suggestions? I can't use Kunneth.
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WHy can't you use Künneth? – Mariano Suárez-Álvarez Jul 08 '13 at 20:52
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Because the qual problem says don't use Kunneth. – dunkindonuts Jul 08 '13 at 20:56
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2Why did you not get all the homology groups by Mayer-Vietoris? – Ted Shifrin Jul 09 '13 at 01:05