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On countably selective spaces - MaRDI portal

On countably selective spaces (Q2182471)

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On countably selective spaces
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    On countably selective spaces (English)
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    23 May 2020
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    Following the celebrated Michael's Selection Principle, selective spaces are studied to investigate the properties of the domain of a multifunction under which this theorem remains true. Some examples illustrating the results are constructed. A few open problems are posed.
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    set-valued mapping
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    lower semicontinuous
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    continuous selection
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    (strongly) \((\omega + 1)\)-selective
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    (strongly) \(C\)-selective
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    \(W\)-space
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    \(GO\)-space
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    Martin's axiom
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