Constructions of Knotted Surfaces

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


In this chapter, we discuss many of the known methods for constructing knotted surfaces in 4-space. These constructions include spinning and its generalizations, ribbon and simply knotted surfaces, and the connected sum. The chapter also contains a section on Seifert solids (hypersurfaces), and other related constructive aspects.


Triple Point Double Point Regular Neighborhood Seifert Surface Ribbon Surface 
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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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