18.100B | Spring 2025 | Undergraduate, Graduate

Real Analysis

Lecture 12: Convergence in Metric Spaces; Operations on Sets

We continue our discussion of metric spaces and see that even more concepts that we have studied on the real line have counterparts in metric spaces. Those include, in addition to sequences, convergence, and Cauchy sequence, also a ball, a bounded set, as well as open and closed subsets.

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Spring 2025
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