On the Pytkeev property in spaces of continuous functions (II)

• Autores: Boaz Tsaban, Lyubomyr Zdomskyy
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 35, Nº 2, 2009, págs. 563-571
• Idioma: inglés
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• Resumen

  • 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 compact-open topology.

    We also consider the Pytkeev property in the case where C(X) is endowed with the topology of pointwise convergence.