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fixing typos, and hyperlinking the title.
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Kim Morrison
Kim Morrison
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I posted a paper on the arXiv: Group Width, Group Width which answers this question for manifolds of dim >3$>3$ with sufficiently complicated fundamental group (there will be no finite set of blocks). As Greg KupebergKuperberg said, there are many interesting variations which remain open and are a nice chalangechallenge to technique, e.g. the case of simply connected manifolds.

I posted a paper on the arXiv: Group Width which answers this question for manifolds of dim >3 with sufficiently complicated fundamental group (there will be no finite set of blocks). As Greg Kupeberg said, there are many interesting variations which remain open and are a nice chalange to technique, e.g. the case of simply connected manifolds.

I posted a paper on the arXiv, Group Width which answers this question for manifolds of dim $>3$ with sufficiently complicated fundamental group (there will be no finite set of blocks). As Greg Kuperberg said, there are many interesting variations which remain open and are a nice challenge to technique, e.g. the case of simply connected manifolds.

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michael freedman
michael freedman
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I posted a paper on the arXiv: Group Width which answers this question for manifolds of dim >3 with sufficiently complicated fundamental group (there will be no finite set of blocks). As Greg Kupeberg said, there are many interesting variations which remain open and are a nice chalange to technique, e.g. the case of simply connected manifolds.