Geodesic
Two More Hereditarily Separable Non-Lindelöf Spaces
Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 998-1005

Voir la notice de l'article provenant de la source Cambridge University Press

Our method using CH is a blend of two earlier constructions (Hajnal-Juhász [2] and Ostaszewski [4]) of hereditarily separable (HS), regular, non-Lindelöf, first countable spaces. [4] produces a much better space than ours in § 1 ; it has all of our properties except that it is not realcompact (which is probably more interesting), and it is countably compact as well; however, the construction works only under ◇, which implies the continuum hypothesis (CH) but is not equivalent to it. 
Juhász, I.; Kunen, K.; Rudin, M. E. Two More Hereditarily Separable Non-Lindelöf Spaces. Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 998-1005. doi: 10.4153/CJM-1976-098-8
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