Set-theoretic topology

In mathematics, set-theoretic topology is a subject that combines set theory and general topology. It focuses on topological questions that are independent of Zermelo–Fraenkel set theory(ZFC). A famous problem is the normal Moore space question, a question in general topology that was the subject of intense research. The answer to the normal Moore space question was eventually proved to be independent of ZFC.

References

• Kunen, Kenneth; Vaughan, Jerry E. (editors). Handbook of Set-Theoretic Topology. North-Holland. ISBN 0-444-86580-2.