Open Access
2017 Club-Isomorphisms of Aronszajn Trees in the Extension with a Suslin Tree
Teruyuki Yorioka
Notre Dame J. Formal Logic 58(3): 381-396 (2017). DOI: 10.1215/00294527-3882335

Abstract

We show that, under PFA(S), a coherent Suslin tree forces that every two Aronszajn trees are club-isomorphic.

Citation

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Teruyuki Yorioka. "Club-Isomorphisms of Aronszajn Trees in the Extension with a Suslin Tree." Notre Dame J. Formal Logic 58 (3) 381 - 396, 2017. https://doi.org/10.1215/00294527-3882335

Information

Received: 17 December 2013; Accepted: 29 October 2014; Published: 2017
First available in Project Euclid: 19 April 2017

zbMATH: 06761614
MathSciNet: MR3681100
Digital Object Identifier: 10.1215/00294527-3882335

Subjects:
Primary: 03E35
Secondary: 03E50 , 03E57

Keywords: $\mathsf{PFA}(S)$ , Aronszajn tree , club-isomorphism , coherent Suslin tree

Rights: Copyright © 2017 University of Notre Dame

Vol.58 • No. 3 • 2017
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