Paths
In this video, I talk about paths in a topological space. I mention why the interval plays such an important role in Topology, I define paths and path concatenation. I disucss path connectedness, path components and the functor π0. At the end, I discuss homotopies between paths and π1(X) the fundamental groupoid of a space X.
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Compact and Hausdorff
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Weird Topological Spaces // Connected vs Path Connected vs Simply Connected
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Homotopy of paths
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What is Topology?
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Algebraic Topology 0: Cell Complexes
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The fundamental group | Algebraic Topology 24 | NJ Wildberger
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Understanding S Kumaresan proof of Why Topologist sine curve - I is not path connected.
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M2201 - Metric Topology - Section 4.2 - Path connectedness
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We're 99.9% sure this pattern is true, but no one can prove it
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Train Your Brain to Never Forget (5 Feynman Habits)
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Topology Lecture 21: Compactness I
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Exponential topologies
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You Know This Song (but the Orchestra Doesn’t) | Jacob Collier & VSO School of Music Orchestra | TED
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Electrons Don't Actually Orbit Like This
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Topology Lecture 19: Path-Connectedness
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1.03 Concatenation and the fundamental group
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What is a Hilbert Space?
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The Subspace Topology
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Compactifications
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