Publication: Whitney topology and normality
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Publication Date
1993-08
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Elsevier Science
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Abstract
I.I. Guran and M.M. Zarichnyi proved that C(X,Y) with the Whitney topology is not normal provided that X and Y are manifolds of positive dimension and X noncompact. We obtain a similar result for spaces of continuous functions between more general topological spaces, giving in some cases necessary and sufficient conditions for C(X,Y) to be normal.