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LIPSCHITZ IMAGES OF HAAR NULL SETS

Published online by Cambridge University Press:  01 March 2000

EVA MATOUšKOVÁ
EVA MATOUšKOVÁ
Affiliation:
Mathematical Institute, Czech Academy of Sciences, Žitná 25, CZ-11567 Prague, Czech Republic
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Abstract

Let X be a separable infinite dimensional Banach space. There exist a closed set A ⊂ X which contains a translate of any compact set in the unit ball of X, and a bi-Lipschitz homeomorphism f of X onto X so that every line in X intersects f(A) in a set of Lebesgue measure zero.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 235 - 244
Copyright
© The London Mathematical Society 2000

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