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arxiv: math/0608277 · v1 · submitted 2006-08-11 · 🧮 math.FA

A new construction of wavelet sets

classification 🧮 math.FA
keywords setswaveletmethodbijectionscharacterizationconditionsconnectingconstruction
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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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