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Topology of Curves

  • V. G. Boltyanskiĭ
  • V. A. Efremovich
Part of the Universitext book series (UTX)

Abstract

The evolution of every area of mathematics begins with a fundamental idea, a fundamental concept that permeates the whole structure and determines its character. The fundamental concept of topology is continuity. We encounter it already in analysis. But there, as a result of its subordination to other concepts of analysis, its development is insignificant. It is in topology that continuity has been developed fully and in all possible ways. We give two examples that illustrate its application.

Keywords

Span Tree Connected Graph Euler Characteristic Intersection Index Topological Invariant 
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 2001

Authors and Affiliations

  • V. G. Boltyanskiĭ
    • 1
  • V. A. Efremovich
  1. 1.CIMAT Guanajuato, Gto.Mexico

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