Geodesic
First Countable Lindelöf Extensions of Uncountable Discrete Spaces
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 397-399

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DOI

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 + ¬ CH
DOI : 10.4153/CMB-1980-058-6
Mots-clés : 54020, 54A25, First countable, Lindelöf, discrete, CH and B(ω) 
Bell, Murray; Ginsburg, John. First Countable Lindelöf Extensions of Uncountable Discrete Spaces. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 397-399. doi: 10.4153/CMB-1980-058-6
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     author = {Bell, Murray and Ginsburg, John},
     title = {First {Countable} {Lindel\"of} {Extensions} of {Uncountable} {Discrete} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {397--399},
     year = {1980},
     volume = {23},
     number = {4},
     doi = {10.4153/CMB-1980-058-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-058-6/}
}
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