Miscelleanous

A bag of bits of joy

• Assuming the Continuum Hypothesis, it is possible to find a perfectly normal topological manifold that is not paracompact (hence not metrisable).

• Depending on the chosen axioms, it may be possible to say that every perfectly normal and locally compact space is paracompact [0].

References

[0] Larson & Tall, Locally compact perfectly normal spaces may all be paracompact