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Abstract
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This note pushes further the discussion by Beresnevich, Guan, Marnat, Ramirez, and
Velani (Adv. Math. 401 (2022), art. id. 108316) about relations between Dirichlet
improvable, badly approximable and singular points by considering Diophantine sets
extending the notion of bad approximability.
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Keywords
Diophantine approximation, metric Diophantine
approximation, geometry of numbers
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Mathematical Subject Classification
Primary: 11J13
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Milestones
Received: 26 January 2022
Revised: 23 March 2022
Accepted: 7 April 2022
Published: 13 August 2022
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