Pseudonormal space

In mathematics, in the field of topology, a topological space is said to be pseudonormal if given two disjoint closed sets in it, one of which is countable, there are disjoint open sets containing them. Note the following:

• Every normal space is pseudonormal.
• Every pseudonormal space is regular.

An example of a pseudonormal Moore space that is not metrizable was given by Template:Harvs, in connection with the conjecture that all normal Moore spaces are metrizable.

References

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