PL Functions

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


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


Simplicial Complex Betti Number Homotopy Type Morse Theory Lower Link 
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    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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