Pseudonormal space
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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.[1] 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 F. B. Jones (1937), in connection with the conjecture that all normal Moore spaces are metrizable.[1][2]
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