A note on the interior and dimensions of typical sumsets

DOI10.1090/proc/16500OpenAlexW4365150557MaRDI QIDQ6095811

Jianci Xiao

Publication date: 8 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16500

zbMATH Keywords

categorydimensionssumsetinterior

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Fractals (28A80)

Cites Work

• Unnamed Item
• A generalization of Steinhaus' theorem and some nonmeasurable sets
• Fractal boundaries are not typical
• Category and dimensions for cut-out sets
• Dimension and structure of typical compact sets, continua and curves
• Category and dimension of compact subsets of \(\mathbb R^n\)
• Typical elements and meager spaces
• Box and packing dimensions of typical compact sets
• A typical measure typically has no local dimension
• Some typical properties of dimensions of sets and measures
• Shorter Notes: A Generalization of a Theorem of S. Piccard
• Measure, Category, and the Sums of Sets
• Shorter Notes: On the Difference of Two Second Category Baire Sets in a Topological Group
• On the sum and difference of two sets in topological vector spaces

This page was built for publication: A note on the interior and dimensions of typical sumsets