Lecture 6: Creating a Simplicial Complex from Data

A series of preparatory lectures for a math course "Topics in Topology: Scientific and Engineering Applications of Algebraic Topology," offered Fall 2013 through the University of Iowa Division of Continuing Education. For more information see http://www.math.uiowa.edu/~idarcy/App... Lecture 5 can be found at    • Lecture 5: Triangulations and Simplicial C...   Lecture 7 will be available in about a week The complete list of preparatory lectures plus additional links can be found at http://homepage.math.uiowa.edu/~idarc... The article referenced in slide 3 is P. Y. Lum, G. Singh, A. Lehman, T. Ishkanov, M. Vejdemo-Johansson, M. Alagappan, J. Carlsson & G. Carlsson, Extracting insights from the shape of complex data using topology, Scientific Reports 3, February 2013. It is available at http://www.nature.com/srep/2013/13020... FYI (optional info): The protein I mentioned during slide 5 is ubiquitin hydrolase. It is a protein that occurs in your brain and contains a local 5 crossing knot. For more info see: Virnau P, Mirny LA, Kardar M (2006) Intricate Knots in Proteins: Function and Evolution. PLoS Comput Biol 2(9), http://www.ploscompbiol.org/article/i...