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?
 

Similar threads

  • Calculus and Beyond Homework Help
Replies
1
Views
1K
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
20
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
3
Views
1K
  • Calculus and Beyond Homework Help
Replies
4
Views
1K
  • Calculus and Beyond Homework Help
Replies
16
Views
2K
  • Calculus and Beyond Homework Help
Replies
4
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
823
Back
Top