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This lecture covers the concept of open sets and interior points in the context of real numbers. It explains the definition of open sets, provides examples, and discusses the conditions for a set to be considered open. The lecture also delves into the concept of interior points, illustrating how to determine if a point is interior to a set or if the set is empty. The instructor, Quentin Berling, presents various examples and clarifies the criteria for identifying interior points within a set.
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