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arXiv · 1809.04627

The Main Decomposition of Finite-Dimensional Protori

Wayne Lewis·Adolf Mader
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Abstract

A protorus is a compact connected abelian group. We use a result on finite rank torsion-free abelian groups and Pontryagin Duality to considerably generalize a well-known factorization of a finite-dimensional protorus into a product of a torus and a torus-free complementary factor. We also classify by types the solenoids of Hewitt and Ross.

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Wayne Lewis, Adolf Mader. 2018-09-12. The Main Decomposition of Finite-Dimensional Protori. https://arxiv.org/abs/1809.04627

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