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Proposition: Characterization of $T_1$ Spaces

Let $(X,\mathcal O)$ be a topological space $X$ is a $T_1$ space if and only if every singleton subset of $X$ is closed.

Table of Contents

Proofs: 1

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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
  3. Grotemeyer, K.P.: "Topologie", B.I.-Wissenschaftsverlag, 1969