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Topological Invariants

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Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 142)

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.

Keywords

Branch Point Fundamental Group Triple Point Morse Function Commutator Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of South AlabamaMobileUSA
  2. 2.Department of MathematicsHiroshima UniversityHigashi-Hiroshima City, HiroshimaJapan
  3. 3.Department of MathematicsUniversity of South FloridaTampaUSA

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