Homeomorphism and the Group Structure on a Circle 
Homeomorphism and the Group Structure on a Circle
by UNSW / N.J. Wildberger
Video Lecture 3 of 26
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Views: 3,329
Date Added: July 28, 2011

Lecture Description

In this video lecture, Prof. N.J. Wildberger gives the basic definition of homeomorphism between two topological spaces, and explains why the line and circle are not homeomorphic.

Then, we introduce the group structure on a circle, or in fact a general conic, in a novel way, following Lemmermeyer and as explained by S. Shirali. This gives a gentle intro to the definition of a group. It also uses Pascal's theorem in an interesting way, so we give some background on projective geometry.

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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