The Ham Sandwich Theorem and the Continuum 
The Ham Sandwich Theorem and the Continuum
by UNSW / N.J. Wildberger
Video Lecture 15 of 26
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Views: 2,050
Date Added: July 28, 2011

Lecture Description

In this video lecture, Prof. N.J. Wildberger talks about the Borsuk Ulam theorem: a continuous map from the sphere to the plane takes equal values for some pair of antipodal points. This is then used to prove the Ham Sandwich theorem (you can slice a sandwich with three parts (bread, ham, bread) with a straight planar cut s so that each slice is cut cut in two. Also, we give an application to the continuum: the plane is different (not homeomorphic) 3 dimensional space.

Course Index

Course Description

In this course, Prof. N.J. Wildberger gives 26 video lectures on Algebraic Topology.  This is a beginner's course in Algebraic Topology given by Assoc. Prof. N J Wildberger of the School of Mathematics and Statistics, UNSW. It features a visual approach to the subject that stresses the importance of familiarity with specific examples. It also introduces 'rational curvature', a simple but important innovation. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

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