Authors: Todorčević, Stevo 
Title: Collapsing ω2 with semi-proper forcing
Journal: Archive for Mathematical Logic
Volume: 57
Issue: 1-2
First page: 185
Last page: 194
Issue Date: 1-Feb-2018
Rank: M23
ISSN: 0933-5846
DOI: 10.1007/s00153-017-0588-x
Abstract: 
We examine the differences between three standard classes of forcing notions relative to the way they collapse the continuum. It turns out that proper and semi-proper posets behave differently in that respect from the class of posets that preserve stationary subsets of ω1.
Keywords: Forcing | Oscillation | Stationary set
Publisher: Springer Link

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