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Connectifications of metrizable spaces

✍ Scribed by Gary Gruenhage; John Kulesza; Attilio Le Donne

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 600 KB
Volume: 82
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00067-9

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✦ Synopsis

We answer a question of Alas, TkaEenko, Tkachuk, and Wilson by constructing a metrizable space with no compact open subsets which cannot be densely embedded in a connected metrizable (or even perfectly normal) space. We also obtain a result that implies that every nowhere locally compact metrizable space can be densely embedded in a connected metrizable space. 0 1998 Elsevier Science B.V.

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