Sorry for a probably naive question by a physicist. Suppose we consider SO(3) as a manifold and identify points which are equivalent under the action of some finite subgroup, say the rotations corresponding to symmetries of a tetrahedron. Is the resulting 'manifold' with points identified what people call an orbifold? Are all the homotopy groups of this object well known?
2026-02-23 08:22:51.1771834971
SO(3) modded by a finite subgroup
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