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
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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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DOI: https://doi.org/10.1007/978-3-642-19580-8_6
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-19580-8
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