How can I verify that the space of all continuous mapping of the interval I into the Tychonoff cube I with the compact-open topology is not normal.Thanks.
Thank you very much.
This is Exercise 3.4.D in Engelking's book General Topology; it has a few hints that may help you on your way. Or see A. H. Stone's paper:
http://www.ams.org/journals/proc/1963-014-01/S0002-9939-1963-0143180-5/home.html
Thanks Klaas.
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