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Topological Spaces

  • Herbert EdelsbrunnerEmail author
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

In geometry, we can decide which points are near and which are far by computing distance. In topology, no such notion is available and distance is replaced by the weaker concept of neighborhoods.

Keywords

Topological Space Projective Plane Simplicial Complex Euler Characteristic Closed Curf 
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.

References

  1. 1.
    Brahana HR (1922) Systems of circuits on two-dimensional manifolds. Ann Math 23:144–168CrossRefMathSciNetGoogle Scholar
  2. 2.
    Dehn M, Heegard P (1907) Analysis situ. Enzykl Math Wiss III AB 3:153–220Google Scholar
  3. 3.
    Markov AA (1958) Insolubility of the problem of homeomorphy. In: Proceedings of International Congress of Mathematicians, pp 14–21Google Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Institute of Science and Technology AustriaKlosterneuburgAustria

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