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Weakly Whyburn spaces of continuous functions on ordinals. (English) Zbl 1121.54011
Summary: We characterize those ordinals \(\xi\) for which \(C_p(\xi)\) is a weakly Whyburn space. As a byproduct we obtain the coincidence of the Fréchet property and the Whyburn one on \(C_p(\xi)\).

MSC:
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54C35 Function spaces in general topology
54B99 Basic constructions in general topology
46E10 Topological linear spaces of continuous, differentiable or analytic functions
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