|Title:||Forcing with a coherent Souslin tree and locally countable subspaces of countably tight compact spaces||Journal:||Topology and its Applications||Volume:||195||First page:||284||Last page:||296||Issue Date:||1-Nov-2015||Rank:||M22||ISSN:||0166-8641||DOI:||10.1016/j.topol.2015.09.035||Abstract:||
We apply a method of Todorcevic in showing that PFA(S) implies that the coherent Souslin tree S forces various strengthenings of the assertion that every locally countable space of size ℵ1 that has a countably tight compactification must be σ-discrete.
|Keywords:||(Locally) compact | Countably tight | Forcing with a coherent Souslin tree | Locally countable | PFA(S)[S] | σ-discrete||Publisher:||Elsevier||Project:||NSERC, Grant A-7354 and 455916|
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