What is the conjecture

The conjecture asks for a Lindelöf space where all singletons are G_δ sets
and which has cardinality > 𝔠.

This is Problem 1 in https://www.math.md/files/basm/y2013-n2-3/y2013-n2-3-(pp37-46).pdf.pdf

Would it be useful to formalise more of the above problem list? Right now the repository has very little topology.
As far as I can tell, of the 20 problems, only Problem number 11 has been solved.

AMS categories

• ams-54

Choose either option

• I plan on adding this conjecture to the repository
• This issue is up for grabs: I would like to see this conjecture added by somebody else