A generalization of Hagopian's theorem and exponents

Alex Clark

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arXiv · math/0003206

A generalization of Hagopian's theorem and exponents

Alex Clark

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Abstract

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.

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Alex Clark. 2000-03-29. A generalization of Hagopian's theorem and exponents. https://arxiv.org/abs/math/0003206

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