Ja n 20 07 ON THE PYTKEEV PROPERTY IN SPACES OF CONTINUOUS FUNCTIONS ( II )

Abstract

We prove that for each Polish space X , the space C(X) of continuous real-valued functions on X satisfies (a strong version of) the Pytkeev property, if endowed with the compactopen topology. We also consider the Pytkeev property in the case where C(X) is endowed with the topology of pointwise convergence. 

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