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Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
Poincaré dodecahedron space
A quite direct argument is to solve exercise 4.4.17 in page 252 of Thurston's
book 3-D Geom & Topo - the published one in 1997; in this exercise Thurston
considered the action of the icosahedral gro …