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MR546098 (81b:57009) 57N12 (55P55)
Coram, D. S.; Duvall, P. F., Jr. Mappings from $S\sp{3}$ to $S\sp{2}$ whose point inverses have the shape of a circle. General Topology Appl. 10 (1979), no. 3, 239–246.
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