Proving The Hamming Metric: Open Subsets and Basis of X

In summary, the conversation discusses the concept of open sets and balls in a metric space. It also touches on the concept of a basis of open sets and how it can be used to prove that a set is open. The conversation concludes with finding the ball around a specific point with a given radius.
  • #71
I have a new question.

How would I show that the metric space defined by the Hamming metric is complete?
 

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