Jerry's Digital Garden

Bibliography
/Part 2: General Topology/Chapter 7: Metric Spaces/Section 7.2: Distance Between Sets

Proposition 7.2.4. Let $(X, d)$ be a metric space and $A \subset X$, then

\[\ol{A}= \bigcap_{\eps > 0}B(A, \eps)\]

Proof. By Proposition 5.1.13.$\square$

Direct References

  • Proposition 5.1.13

Direct Backlinks

  • Section 7.2: Distance Between Sets
  • Section 15.5: Measurable Functions into Metric Spaces
  • Proposition 7.2.5
  • Proposition 15.5.3
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Jerry's Digital Garden

Bibliography

Direct References

  • Proposition 5.1.13

Direct Backlinks

  • Section 7.2: Distance Between Sets
  • Section 15.5: Measurable Functions into Metric Spaces
  • Proposition 7.2.5
  • Proposition 15.5.3
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