From Wikipedia, the free encyclopedia
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:
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]
References
^
a
b Nyikos, Peter J. (2001), "A history of the normal Moore space problem",
Handbook of the History of General Topology , Hist. Topol., vol. 3, Dordrecht: Kluwer Academic Publishers, pp. 1179–1212,
MR
1900271
^
Jones, F. B. (1937), "Concerning normal and completely normal spaces",
Bulletin of the American Mathematical Society , 43 (10): 671–677,
doi :
10.1090/S0002-9904-1937-06622-5 ,
MR
1563615 .