Construction of sets of positive measure not containing an affine image of a given infinite structure

DOI10.1007/BF02780397zbMath0647.28001MaRDI QIDQ1104439

Jean Bourgain

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

affine images of measurable subsetsinfinite version of the 3- dimensional Szemeredi phenomenon

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75)

Related Items (8)

Finite configurations in sparse sets ⋮ On a topological Erdős similarity problem ⋮ Large sets avoiding affine copies of infinite sequences ⋮ Large sets avoiding Infinite arithmetic / geometric progressions ⋮ Unnamed Item ⋮ On sets containing an affine copy of bounded decreasing sequences ⋮ Arithmetic progressions in sets of fractional dimension ⋮ Exploring the toolkit of Jean Bourgain

Cites Work

• An ergodic Szemerédi theorem for commuting transformations
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• On sets of integers containing k elements in arithmetic progression

This page was built for publication: Construction of sets of positive measure not containing an affine image of a given infinite structure