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Answer by ThiKu for Every PD group is $\pi_1$ of an aspherical manifold
The reference for the first appearance of the conjecture (still without the condition that the PD group has to be a priori finitely presented) seems to be...
View ArticleEvery PD group is $\pi_1$ of an aspherical manifold
It is conjectured that for a discrete, finitely presented group $G$ such that $BG$ satisfies Poincaré duality, there actually exists a closed manifold $M$ which is homotopy equivalent to $BG$. This is...
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