Compact sets with large projections and nowhere dense sumset

DOI10.1088/1361-6544/acebaearXiv2006.15206OpenAlexW3037772409MaRDI QIDQ6095422

Márton Elekes, Viktor Kiss, Márk Poór, Richárd Balka, Donát Nagy

Publication date: 8 September 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15206

zbMATH Keywords

projectionsumsetself-similaradditive combinatoricsgenericrandom constructiontypical

Mathematics Subject Classification ID

Continuous maps (54C05) Baire category, Baire spaces (54E52) Connected and locally connected spaces (general aspects) (54D05) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Cites Work

• Balanced words
• The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\)
• On the Number of Balanced Words of Given Length and Height over a Two-Letter Alphabet
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