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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