Mapping Borel Sets onto Balls and Self-similar Sets by Lipschitz and Nearly Lipschitz Maps
نویسندگان
چکیده
منابع مشابه
Generating Borel Sets by Balls
It is proved that an arbitrary infinite-dimensional Banach space with basis admits an equivalent norm such that any Borel set can be obtained from balls by taking complements and countable disjoint unions. For reflexive spaces, the new norm can be chosen arbitrarily close to the initial norm.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2018
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rny008