Diophantine approximation in metric space
نویسندگان
چکیده
Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying in an arbitrary totally bounded metric space where rationals replaced with countable hierarchy “well-spread” points, which we refer to as abstract prove various Jarník–Besicovitch type dimension bounds and investigate their sharpness.
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ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2022
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12755