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1. Coset topologies on [formula omitted] and arithmetic applications.

Author

Longhi, Ignazio, Mu, Yunzhu, and Saettone, Francesco Maria

Abstract

We provide a construction which covers as special cases many of the topologies on integers one can find in the literature. Moreover, our analysis of the Golomb and Kirch topologies inserts them in a family of connected, Hausdorff topologies on Z , obtained from closed sets of the profinite completion Z ˆ. We also discuss various applications to number theory. [ABSTRACT FROM AUTHOR]

Published
2023
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