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Fundamental Group of Surfaces - Multiplication and Properties

Insights into Mathematics via YouTube

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This lecture proves that equivalence classes of loops based at a point form a group under multiplication. It uses examples from the torus and projective plane.

Syllabus

More on the fundamental group
Multiplication
Theorem
Proof -Identity & constant loop
Inverses
Associativity
picture examples
Projective plane
Problem 26. Describe...

Taught by

Insights into Mathematics

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