Embeddings into first countable spaces with H-closed like properties

✍ Scribed by A. Bella; I.V. Yaschenko

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 601 KB
• Volume: 83
• Category: Article
• ISSN: 0166-8641
• DOI: 10.1016/s0166-8641(97)00038-2

✦ Synopsis

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 Lindelof space or for the cardinality of an H-set contained in a first countable Hausdorff space.