Hyper-extensions of -algebras
Zdeněk Frolík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Zdeněk Frolík (1973)
Commentationes Mathematicae Universitatis Carolinae
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Diego Averna (1991)
Mathematica Slovaca
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Jozef Dravecký (1975)
Matematický časopis
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Samuel Gomes da Silva (2011)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we show that a separable space cannot include closed discrete subsets which have the cardinality of the continuum and satisfy relative versions of any of the following topological properties: normality, countable paracompactness and property . It follows that it is consistent that closed discrete subsets of a separable space which are also relatively normal (relatively countably paracompact, relatively ) in are necessarily countable. There are, however, consistent...