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PL Functions

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

Abstract

Other than from alpha, Čech, and Vietoris-Rips complexes, we get filtrations from real-valued functions on topological spaces.

Keywords

Simplicial Complex Betti Number Homotopy Type Morse Theory Lower Link 
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.
    Milnor J (1963) Morse theory. Princeton University Press, Princeton, New JerseyGoogle Scholar
  2. 2.
    Edelsbrunner H, Harer JL (2010) Computational Topology. An Introduction. Amer Math Soc, Providence, Rhode IslandGoogle Scholar
  3. 3.
    Cohen-Steiner D, Edelsbrunner H, Harer J (2007) Stability of persistence diagrams. Discrete Comput Geom 37:103–120CrossRefzbMATHMathSciNetGoogle Scholar
  4. 4.
    Cohen-Steiner D, Edelsbrunner H, Morozov D (2006) Vines and vineyards by updating persistence in linear time. In: Proceedings 22nd annual symposium on computational geometry, pp 119–126Google Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Institute of Science and Technology AustriaKlosterneuburgAustria

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