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Let K be a knotted surface in S 4. Let N(K) denote a tubular neighborhood of K, and let X = S 4\int N(X) denote the complement of the neighborhood. Let E = S 4 \ K. It is obvious that X is a deformation retract of E. We call the set X the knot exterior.
KeywordsBranch Point Fundamental Group Triple Point Morse Function Commutator Subgroup
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