Abstract
A property of maps between closed 3 3 -manifolds, implied by cellularity and implying U V ∞ U{V^\infty } , is that the mapping cylinder embed locally in S 4 {S^4} . It is not clear what topological properties are preserved under such maps. In the present note, we show that a closed 3 3 -manifold admits such a map onto S 3 {S^3} if and only if its suspension is S 4 {S^4} .
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