Diagrams of Knotted Surfaces

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


A fundamental problem in topology is to find a good geometric representation of the topological entity. Morse theory and handle decompositions give descriptions of manifolds, that are convenient for the study of their homology groups, for example. Handle slides and cancelations relate different handle decompositions of the same manifold. Triangulations and their subdivisions are also used for manifolds and complexes.


Branch Point Triple Point Double Point Motion Picture Height Function 
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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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