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arXiv · 2608.12420

A Kronecker-Weyl Theorem from Interpolation Sets

Rafael Reno S. Cantuba
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Abstract

An analog of the classical Kronecker-Weyl theorem for weak uniform distribution is obtained for an arbitrary countably infinite independent subset of a discrete abelian group using a type of interpolation sets called epsilon-Kronecker sets. Specifically, the topological size of the set of homomorphisms inducing weakly uniformly distributed sequences is established by showing that it forms a dense G-delta set.

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Rafael Reno S. Cantuba. 2026-08-12. A Kronecker-Weyl Theorem from Interpolation Sets. https://arxiv.org/abs/2608.12420

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