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Some Geometry and Some Topology

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

Abstract

In the preceeding two chapters we spent most of our time talking about probability, while making lots of tangential references to geometry and topology. The time has now come to be a little more formal in defining the concepts that we shall need from these disciplines.

Keywords

  • Riemannian Manifold
  • Fundamental Form
  • Euler Characteristic
  • Morse Index
  • Morse Function

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). Some Geometry and Some Topology. 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_3

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