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(Topological) Maps

  • Rudolf Fritsch
  • Gerda Fritsch

Abstract

The development of the Four-Color Theorem from a mathematical perspective requires rigorous definitions of its concepts. To organize these ideas is not a simple task, and it requires a certain amount of effort. Inevitably, this will lead to some very abstract thinking. However, initially, we shall be guided by our intuition. Out of this intuition, geometric-topological objects called maps will be realized. Although the fundamental ideas arise in a set-theoretic topological setting, the Four-Color Theorem itself is of a combinatorial nature.

Keywords

Line Segment Interior Point Jordan Curve Exterior Domain Neutral Point 
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 Science+Business Media New York 1998

Authors and Affiliations

  • Rudolf Fritsch
    • 1
  • Gerda Fritsch
    • 1
  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany

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