First Countable Lindelöf Extensions of Uncountable Discrete Spaces
- 1 December 1980
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 23 (4) , 397-399
- https://doi.org/10.4153/cmb-1980-058-6
Abstract
The existence of a first countable Lindelöf extension L of an uncountable discrete space D for which L-D is countable is considered. Assuming CH, such extensions exist; however it is also consistent that no such spaces exist, as follows from MA + ¬ CHKeywords
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