is then a principal ''K''-bundle over H.

If G is a covering group of H then the groups G and H are locally isomorphic. Moreover, given any two connected locally isomorphic groups H₁ and H₂, there exists a topological group G with discrete normal subgroups K₁ and K₂ such that H₁ is isomorphic to ''G'' / ''K''₁ and H₂ is isomorphic to ''G'' / ''K''₂.

Group structure on a covering space

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