Branches History Index

◀ ▲ ▶Branches / Topology / Proposition: Perfect Sets vs. Derived Sets

Proposition: Perfect Sets vs. Derived Sets

Let $(X,\mathcal O)$ be a topological space. A subset $U\subseteq X$ is perfect if and only if it equals its derived set.

Table of Contents

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs

References

Bibliography

  1. Steen, L.A.;Seebach J.A.Jr.: "Counterexamples in Topology", Dover Publications, Inc, 1970
  2. Jänich, Klaus: "Topologie", Springer, 2001, 7th Edition