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

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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 (in-package “CAT”) followed by any Kenzo commands. Screenshot:

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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, n-sphere (), torus (), real projective plane (), and the Klein bottle (). Fundamental Group Circle: n-Sphere: , for n-Torus: (Here n-Torus … Continue reading

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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

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Video on Simplices and Simplicial Complexes

Professor Wildberger is extremely kind to upload his videos which would be very useful to any Math student studying Topology. Simplices / Simplicial Complexes are usually the first chapter in a Algebraic Topology book. Check out also Professor Wildberger’s book … Continue reading

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AlgTop1: One-dimensional 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

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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

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