Math 2.0

concept

Totally bounded set

Summary

A subset of a metric space is totally bounded when, for each size, it can be covered by finitely many pieces of that size. Compact sets are exactly the totally bounded sets that are complete.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

Sources

  1. Web https://en.wikipedia.org/wiki/Totally_bounded_space, lead section

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