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Whitney topology and normality

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Serrano Pascual, Feliciana (1993) Whitney topology and normality. Topology and its Applications, 52 (1). pp. 59-67. ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/016686419390090Z


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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.


Item Type:Article
Uncontrolled Keywords:Box topology; Whitney topology; Discretely pseudonormal space
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:22486
Deposited On:22 Jul 2013 10:27
Last Modified:12 Dec 2018 15:13

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