A new construction of wavelet sets

Details A new construction of wavelet sets A new construction of wavelet sets

2006-08-11

arxiv.org/abs/math/0608277v1

Mathematics

Functional Analysis

17 pages, two figures

Scientific paper

A new method of connecting two wavelet sets with a continuous path of wavelet
sets is given. The method is based on a pure set theoretic fact known as the
Schroder-Cantor-Bernstein theorem and on a characterization of wavelet sets in
terms of one-to-one measurable bijections of [0,1) satisfying some extra
conditions.

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