Algebraic topology: Fundamental group
This lecture is part of an online course on algebraic topology. We define the fundamental group, calculate it for some easy examples (vector spaces and spheres), and give a couple of applications (R^2 is not homeomorphic to R^3, the Brouwer fixedpoint theorem). For the other lectures in the course see • Algebraic topology
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Algebraic topology: Calculating the fundamental group
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Algebraic topology: Introduction
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The fundamental group | Algebraic Topology 24 | NJ Wildberger
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Catalan's Conjecture - Numberphile
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An introduction to homology | Algebraic Topology 30 | NJ Wildberger
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What is algebraic topology?
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A Sphere is a Loop of Loops (Visualizing Homotopy Groups)
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1. History of Algebraic Topology; Homotopy Equivalence - Pierre Albin
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Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths
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Algebraic topology: Fundamental group of a knot
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Edward Frenkel: Langlands Program and Unification
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What is the square root of two? | The Fundamental Theorem of Galois Theory
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Algebraic Topology 2: Introduction to Fundamental Group
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The fundamental group of the circle
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What is...homotopy?
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The Obviously True Theorem No One Can Prove
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Introduction to Algebraic Topology | Algebraic Topology 0 | NJ Wildberger
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You Could Have Invented Homology, Part 1: Topology | Boarbarktree
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What is...the fundamental group?
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