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It is proved that there exists a hereditarily indecomposable metric continuum X containing a homeomorphic copy of every hereditarily indecomposable metric continuum. This is a solution of a problem (Problem 125 by H. Cook in University of Houston Problems Book) recalled in [4, §21]. A similar result was announced by P. Mine.doi:10.1090/s0002-9939-1985-0781076-0 fatcat:hvq2anp2kbanpmnsqw54i2skbu