Abstract
A decomposition G G of S 3 {S^3} is constructed with the following properties: (1) The set N G {N_G} of all nondegenerate elements consists of a null sequence of arcs and J = CL ( ∪ { g ∈ N G } ) J = {\text {CL}}( \cup \{ g \in {N_G}\} ) is a simple closed curve. (2) Each arc contained in J J is cellular. (3) J J is the boundary of a disk Q Q that is locally flat except at points of J J . (4) The decomposition G G is not shrinkable; that is, the decomposition space is not homeomorphic to S 3 {S^3} .
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