A Solution to the L Space Problem
نویسندگان
چکیده
In [23], Todorcevic gives a survey of basis problems in combinatorial set theory, listing nine theorems and six working conjectures — all in the presence of PFA — including the following three of interest to us here: Conjecture 1 (Todorcevic; [23]). If R is a binary relation, then either R ≤ א0 ·ω1 or [ω1]0 ≤ R. Conjecture 2 (Hajnal, Juhasz; [5]). If X is a regular Hausdorff space, then the following are equivalent: (i) X is hereditarily separable; (ii) X is hereditarily Lindelöf; (iii) X does not contain an uncountable discrete subspace.
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تاریخ انتشار 2005