Lecture
The Jordan Curve Theorem
Description
This lecture covers the Jordan Curve Theorem, which states that a simple closed curve divides the plane into exactly two regions, an interior and an exterior. The theorem is illustrated through the concept of embedded spheres and continuous maps, emphasizing the properties of embeddings, homeomorphisms, and compactness. The presentation progresses to discuss path-connected components and the implications of the theorem in topology.
Official source
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