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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The density character of function spaces


Author: N. Noble
Journal: Proc. Amer. Math. Soc. 42 (1974), 228-233
MSC: Primary 54C35
MathSciNet review: 0328855
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Abstract: For topologies between the pointwise topology and the compact-open topology, the density character of $ C(X)$ (and, for certain spaces $ Z,C(X,Z)$) is described in terms of a cardinal invariant of X. The Hewitt-Pondiczery theorem on the density character of product spaces follows as a corollary.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0328855-4
Keywords: Density character, separable spaces, function spaces
Article copyright: © Copyright 1974 American Mathematical Society