A Lindelöf space X such that is normal but not paracompact
T. Przymusiński (1973)
Fundamenta Mathematicae
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Displaying similar documents to “An answer to a question on hyperspaces”
A Lindelöf space X such that is normal but not paracompact
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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...