The density character of function spaces

Noble, N.

doi:10.1090/S0002-9939-1974-0328855-4

The density character of function spaces
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by N. Noble PDF

Proc. Amer. Math. Soc. 42 (1974), 228-233 Request permission

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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