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On a theorem of Šapirovskiĭ on the size of a sequential space. (English) Zbl 1100.54002
Summary: We present a generalization of a theorem of Šapirovkiǐ on the cardinality of a Lindelöf sequential space. Then, we discuss the possibility to extend this result to pseudoradial spaces.

MSC:
54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets)
54D55 Sequential spaces
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