Lipschitz image of a measure-null set can have a null complement

DOI10.1007/BF02803523zbMath0969.46030MaRDI QIDQ1580506

Eva Matoušková, David Preiss, Joram Lindenstrauss

Publication date: 23 September 2001

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

zbMATH Keywords

unconditional basiscompact setHaar null setLipschitz isomorphismnets in metric spaces

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12)

Related Items

Schauder bases in Lipschitz free spaces over nets in Banach spaces ⋮ Schauder bases in Lipschitz free spaces over nets of \(\mathcal{L}_\infty\)-spaces ⋮ Stable periodic solutions in the forced pendulum equation ⋮ Impossibility of almost extension ⋮ The uniform structure of Banach spaces ⋮ Isomorphisms between spaces of Lipschitz functions ⋮ Unnamed Item

Cites Work

• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lipschitz maps and nets in Euclidean space
• Aronszajn null and Gaussian null sets coincide
• Not too well differentiable Lipschitz isomorphisms
• Lipschitz Images of Haar Null Sets