Lecture 5: Complete Metric Spaces

Name: Lecture 5: Complete Metric Spaces
Uploaded: 2023-05-22T14:30:12Z
Duration: 1 h 10 min 49 s
Description: 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.

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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.