PFA(S) and automorphisms of \(\mathcal{P}(\mathbb{N}) / \mathrm{fin}\)

DOI10.1016/J.TOPOL.2018.11.007zbMath1406.54005OpenAlexW2900752558MaRDI QIDQ1632738

Alan Dow

Publication date: 17 December 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.11.007

zbMATH Keywords

automorphismsPFAforcing with Souslin tree

Mathematics Subject Classification ID

Consistency and independence results in general topology (54A35)

Cites Work

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• Trivial automorphisms
• Collapsing \(\omega _2\) with semi-proper forcing
• Homogeneity problems in the theory of Cech compactifications
• Set theory. An introduction to independence proofs. 2nd print
• Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}^{<\aleph _0}\) from variants of small dominating number]
• Proper forcing
• Topics in set theory. Lebesgue measurability, large cardinals, forcing axioms, rho-functions
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• PFA Implies all Automorphisms are Trivial
• Between Martin's Axiom and Souslin's Hypothesis
• ωι-Sonslin trees under countable support iterations
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

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