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Algebraic Topology of Excursion Sets: A New Challenge

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Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 2019)

Abstract

So far, when looking at the topology of excursion sets, these notes have primarily been concerned with differential topology. The main concepts which with we worked – Morse theory, Lipschitz-Killing curvatures, Gaussian Minkowski functionals – all come from this branch of topology.

Keywords

  • Homology Group
  • Euler Characteristic
  • Algebraic Topology
  • Morse Theory
  • Homology Theory

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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Correspondence to Robert J. Adler .

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© 2011 Springer-Verlag Berlin Heidelberg

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Adler, R.J., Taylor, J.E. (2011). Algebraic Topology of Excursion Sets: A New Challenge. In: Topological Complexity of Smooth Random Functions. Lecture Notes in Mathematics(), vol 2019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19580-8_6

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