Can the Poincare'3homology sphere be smoothly embeded in R^4? If it is not the case, how can we fix it?
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closed as off topic by Dan Petersen, David White, Ian Agol, Oscar RandalWilliams, Chris Gerig Nov 14 '12 at 21:07Questions on MathOverflow are expected to relate to research level mathematics within the scope defined by the community. Consider editing the question or leaving comments for improvement if you believe the question can be reworded to fit within the scope. Read more about reopening questions here. If this question can be reworded to fit the rules in the help center, please edit the question. 


If I remember correctly, given M any homology 3sphere then M x [0,1] can be embeded in R^4. Is this right? 

