We generalize Hagopian's theorem characterizing solenoids to higher dimensions by showing that any homogeneous continuum admitting a fiber bundle projection onto a torus with totally disconnected fibers admits a compatible abelian topological group structure. The higher dimensional exponent group is then introduced.
On a generalization of Littlewood's conjecture
A Generalization of the Gauss-Kuzmin-Wirsing constant
On a generalization of the Cartwright-Littlewood fixed point theorem for planar homeomorphisms
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