- #1
Euge
Gold Member
MHB
POTW Director
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Here is this week's POTW:
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Suppose $X$ is a closed connected orientable manifold of dimension $2n$. Prove that if the homology group $H_{n-1}(X)$ is torsion free, then $H_n(X)$ is also torsion free.
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!
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Suppose $X$ is a closed connected orientable manifold of dimension $2n$. Prove that if the homology group $H_{n-1}(X)$ is torsion free, then $H_n(X)$ is also torsion free.
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Remember to read the https://mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to https://mathhelpboards.com/forms.php?do=form&fid=2!