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Lecture 5: Complete Metric Spaces
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MIT 18.S190 Introduction To Metric Spaces, IAP 2023
Instructor: Paige Bright
Not every metric space is a complete metric space, but for those that are we can prove some important concepts. We prove the Banach Fixed Point theorem and prove that we can “complete” (or “fill in the holes” of) every metric space.
License: Creative Commons BY-NC-SA
Instructor: Paige Bright
Not every metric space is a complete metric space, but for those that are we can prove some important concepts. We prove the Banach Fixed Point theorem and prove that we can “complete” (or “fill in the holes” of) every metric space.
License: Creative Commons BY-NC-SA
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