Questions on the Borel Complexity of Characterized Subgroups
Dikran Dikranjan, Daniele Impieri
TL;DR
This paper explores the Borel complexity of characterized subgroups in compact abelian groups, posing various open problems inspired by prior work, to deepen understanding of their descriptive set-theoretic properties.
Contribution
It introduces new problems regarding the Borel hierarchy classification of characterized subgroups, advancing the theoretical framework in this area.
Findings
Proposes multiple open problems about Borel complexity
Connects subgroup characterization with descriptive set theory
Lays groundwork for future research in the field
Abstract
We propose various problems about Borel complexity of characterized subgroups of compact abelian groups, inspired by our forthcoming paper \cite{DI3}.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Limits and Structures in Graph Theory