Borel complexity of the set of typical numbers

DOI10.1016/j.topol.2024.108836arXiv2204.05277OpenAlexW4391253824WikidataQ129284822 ScholiaQ129284822MaRDI QIDQ6192973

Jakub Tomaszewski

Publication date: 12 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.05277

zbMATH Keywords

normal numbersBorel hierarchytypical numbers

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Cites Work

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• A remark on exceptional sets in Erdös-Rényi limit theorem
• On a new law of large numbers
• Construction of \(\mu \)-normal sequences
• On the length of Borel hierarchies
• Discrepancy estimates for a class of normal numbers
• The Construction of Decimals Normal in the Scale of Ten
• DESCRIPTIVE COMPLEXITY IN CANTOR SERIES
• Borel complexity of sets of normal numbers via generic points in subshifts with specification

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