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Feb 10, 2018 at 15:50 history edited Misha CC BY-SA 3.0
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Feb 10, 2018 at 9:28 comment added Misha In a way what I write is similar to the proposal in the post: One can cover $M$ by two complexes instead of several. This might provide a useful simplification.
Feb 10, 2018 at 8:59 comment added Misha @Ian Agol: This is unclear. It is related to my MO question about existence of good covers for topological 4-manifolds, which appears to be an open problem.
Feb 10, 2018 at 3:49 comment added Ian Agol Are the $B_{ij}$s and $C_{ij}$s balls?
Feb 10, 2018 at 0:18 history answered Misha CC BY-SA 3.0