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Dec 9, 2021 at 9:34 vote accept G. Blaickner
Dec 9, 2021 at 6:47 comment added Ryan Budney The Bonahon paper on geometric structures offers a useful survey, as well. It phrases things as: (1) compression body decomposition (2) connect-sum decomposition (3) torus decomposition, then geometrization.
Dec 8, 2021 at 23:15 history answered Danny Ruberman CC BY-SA 4.0