Difference between revisions of "Topology"

From Ioannis Kourouklides
Jump to navigation Jump to search
Line 26: Line 26:
 
* Boissonnat, J. D., Chazal, F., & Yvinec, M. (2018). ''Geometric and Topological Inference''. Cambridge University Press. ([https://geometrica.saclay.inria.fr/team/Fred.Chazal/papers/CGLcourseNotes/main.pdf link])
 
* Boissonnat, J. D., Chazal, F., & Yvinec, M. (2018). ''Geometric and Topological Inference''. Cambridge University Press. ([https://geometrica.saclay.inria.fr/team/Fred.Chazal/papers/CGLcourseNotes/main.pdf link])
 
* Oudot, S. Y. (2015). ''Persistence Theory: From Quiver Representations to Data Analysis ''. American Mathematical Society.
 
* Oudot, S. Y. (2015). ''Persistence Theory: From Quiver Representations to Data Analysis ''. American Mathematical Society.
 +
 +
==Scholarly Articles==
 +
*
  
 
==Software==
 
==Software==

Revision as of 18:38, 25 December 2018

This page contains resources about Geometric Topology and Topology in general.

Subfields and Concepts

  • Metric Geometry 
    • Metric / Distance function
    • Geodesics
  • Topological Groups
    • Pontryagin duality (in Harmonic Analysis)
    • Locally Compact Abelian Group (LCA Group or LCAG)
  • Topological Spaces
    • Manifold
      • Riemannian Manifolds
    • Metric space
      • Riemannian metric
      • Fisher information metric / Fisher–Rao metric
  • Topological Data Analysis

Online Courses

Video Lectures

Lecture Notes

Books

  • Boissonnat, J. D., Chazal, F., & Yvinec, M. (2018). Geometric and Topological Inference. Cambridge University Press. (link)
  • Oudot, S. Y. (2015). Persistence Theory: From Quiver Representations to Data Analysis . American Mathematical Society.

Scholarly Articles

Software

See also

Other Resources