2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115376A 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.17 pages, two figuresFunctional Analysis42C40, 43C30A new construction of wavelet setstext