On the cardinality of Lindelöf subspaces of function spaces

Aleksander V. Arhangel'skii; Vladimir Vladimirovich Uspenskij

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Displaying similar documents to “On the cardinality of Lindelöf subspaces of function spaces”

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Commentationes Mathematicae Universitatis Carolinae

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Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$

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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.

Displaying similar documents to “On the cardinality of Lindelöf subspaces of function spaces”

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

Some properties of $C_{p} (X)$

Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$