Authors: Fischer, Arthur
Tall, Franklin
Todorčević, Stevo 
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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