Department of Mathematics, University of Tennessee, Knoxville, TN 37916, USA
Abstract:
Let C denote a crumpled n-cube in the n-sphere Sn such that every Cantor set in its boundary is tamely embedded in Sn. The main theorem shows C to be universal in the sense that however it is sewn to a crumpled n-cube D of type 2A, a large class containing most of the explicitly described examples, the resultant space is homeomorphic to Sn.