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Jan 28, 2021 at 22:06 vote accept user101010
Dec 10, 2020 at 20:21 comment added user101010 @IgorBelegradek The way I think of doing this for arbitrary such 3-manifolds is to start with a triangulation and consider the graph whose vertices are 3-cells and the edges correspond to the faces between adjacent 3-cells. Taking a spanning tree of this grpha and the taking all of the 3-cells and 2-cells corresponding to the vertices and edges gives a 3-ball with the desired quotienting of the boundary.
Dec 10, 2020 at 14:29 comment added Igor Belegradek In 3d see arxiv.org/abs/0806.1912, "Bitwist 3-manifolds" by J. W. Cannon, W. J. Floyd, W. R. Parry, which constructs all closed connected orientable 3-manifolds by identifying sides of a 3-disk.
Dec 10, 2020 at 3:48 answer added Josh Howie timeline score: 5
Dec 9, 2020 at 18:32 comment added Moishe Kohan In 3d you can find some references here. In 4d, I think, the most common way to describe 4-manifolds (at least, among topologists) is via Kirby diagrams or trisections.
Dec 9, 2020 at 10:36 history asked user101010 CC BY-SA 4.0