Abstract
Let f: S 3→ S 2 be a continuous function. If yϵ S 2 assume that f -1 ( y) has the shape of a circle and that there are neighborhoods V ⊂ U of f -1( y) such that for any point inverse f -1( z)⊂ V, the inclusion of f -1( z) into U is essential. We show that f can be approximated arbitrarily closely by Seifert fiber maps.
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