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Embeddings into first countable spaces with H-closed like properties

1998; Elsevier BV; Volume: 83; Issue: 1 Linguagem: Inglês

10.1016/s0166-8641(97)00038-2

1879-3207

Angelo Bella, Ivan Yaschenko,

Advanced Banach Space Theory

The problem to embed a space into a first countable H-closed like space is considered. As a consequence, it is shown that no upper bound exists either for the cardinality of a first countable almost Lindelöf space or for the cardinality of an H-set contained in a first countable Hausdorff space.