Abstract
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.
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© 2004 Springer-Verlag Berlin Heidelberg
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Carter, S., Kamada, S., Saito, M. (2004). Topological Invariants. In: Surfaces in 4-Space. Encyclopaedia of Mathematical Sciences, vol 142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10162-9_3
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DOI: https://doi.org/10.1007/978-3-662-10162-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05913-1
Online ISBN: 978-3-662-10162-9
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