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Homeomorphism and the Group Structure on a Circle - Algebraic Topology 2 - NJ Wildberger

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This beginner lecture introduces homeomorphisms and shows why the line and circle are not homeomorphic. It then develops a group structure on a circle, with background from Pascal’s theorem and projective geometry.

Syllabus

Introduction
Homeomorphism
bijection
multiplication
properties of multiplication
the Associative Law
Pappas Theorem
args Theorem
Pappass Theorem
Pascals Theorem

Taught by

Insights into Mathematics

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