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LΣ(≤ ω)-spaces and spaces of continuous functions

Israel Lara, Oleg Okunev (2010)

Open Mathematics

We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of LΣ(≤ ω)-spaces; in particular, we prove that every Gul’ko compact space of cardinality less or equal to 𝔠 is an LΣ(≤ ω)-space.

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