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Tag Archives: Algebraic Topology
Guide to Starting Javaplex (With Matlab)
Guide to Starting Javaplex (With Matlab) Step 1) Visit https://appliedtopology.github.io/javaplex/ and download the Persistent Homology and Topological Data Analysis Library 2) Download the tutorial at http://www.math.colostate.edu/~adams/research/javaplex_tutorial.pdf and jump to section 1.3. Installation for Matlab. 3) In Matlab, change Matlab’s “Current … Continue reading
How to use Kenzo (Algebraic Topology CAS) on Clozure CL
After some trials, finally got Kenzo to run on Mac: First download it from (https://github.com/gheber/kenzo). Quicklisp needs to be installed and loaded first. Type: (ql:quickload :kenzo) followed by (inpackage “CAT”) followed by any Kenzo commands. Screenshot:
List of Fundamental Group, Homology Group (integral), and Covering Spaces
Just to compile a list of Fundamental groups, Homology Groups, and Covering Spaces for common spaces like the Circle, nsphere (), torus (), real projective plane (), and the Klein bottle (). Fundamental Group Circle: nSphere: , for nTorus: (Here nTorus … Continue reading
Contractible space as Codomain implies any two maps Homotopic
Click here for: Free Personality Quiz Recall that a space Y is contractible if the identity map is homotopic to a constant map. Let Y be contractible space and let X be any space. Then, for any maps , . Proof: … Continue reading
AlgTop1: Onedimensional objects
This is a continuation of the series of Algebraic Topology videos. Previous post was AlgTop 0. Professor Wildberger is an interesting speaker. He holds some unorthodox views, for instance he doesn’t believe in “real numbers” or “infinite sets”. Nevertheless, his … Continue reading
Algebraic Topology Video by Professor N J Wildberger
This is the Introductory lecture to a beginner’s course in Algebraic Topology given by N J Wildberger of the School of Mathematics and Statistics at UNSW in 2010. This first lecture introduces some of the topics of the course and … Continue reading