Zobrazeno 1 - 10
of 803
pro vyhledávání: '"Proper forcing axiom"'
Autor:
Asperó, David, Golshani, Mohammad
We show that the Proper Forcing Axiom for forcing notions of size $\aleph_1$ is consistent with the continuum being arbitrarily large. In fact, assuming $GCH$ holds and $\kappa\geq\omega_2$ is a regular cardinal, we prove that there is a proper and $
Externí odkaz:
http://arxiv.org/abs/2209.01395
We study methods to obtain the consistency of forcing axioms, and particularly higher forcing axioms. We first force over a model with a supercompact cardinal $\theta>\kappa$ to get the consistency of the forcing axiom for $\kappa$-strongly proper fo
Externí odkaz:
http://arxiv.org/abs/1912.02130
Autor:
Nyikos, Peter, Piątkiewicz, Leszek
Publikováno v:
The Journal of Symbolic Logic, 1995 Jun 01. 60(2), 431-443.
Externí odkaz:
https://www.jstor.org/stable/2275840
Akademický článek
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Autor:
Viale, Matteo, Weiß, Christoph
Recently the second author introduced combinatorial principles that characterize supercompactness for inaccessible cardinals but can also hold true for small cardinals. We prove that the proper forcing axiom PFA implies these principles hold for $\om
Externí odkaz:
http://arxiv.org/abs/1012.2046
Autor:
Viale, Matteo
Publikováno v:
The Journal of Symbolic Logic, Volume 71, Issue 2, year 2006, pp.: 473-479
We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof is by interpolation and uses the Mapping Reflection Principle.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/math/0509633
Autor:
Moore, Justin Tatch
Publikováno v:
Ann. Pure Appl. Logic 140 (2006), no. 1-3, 128--132
The purpose of this paper is to present some results which suggest that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. What will be proved is that a form of simultaneous reflection follows from the Set Mapping Reflection Pri
Externí odkaz:
http://arxiv.org/abs/math/0501527
Autor:
Viale, Matteo
Publikováno v:
The Journal of Symbolic Logic, 2006 Jun 01. 71(2), 473-479.
Externí odkaz:
https://www.jstor.org/stable/27588460
Autor:
Goldstern, Martin, Shelah, Saharon
Publikováno v:
The Journal of Symbolic Logic, 1995 Mar 01. 60(1), 58-73.
Externí odkaz:
https://www.jstor.org/stable/2275509
Publikováno v:
Proceedings of the American Mathematical Society, 1989 Jul 01. 106(3), 821-828.
Externí odkaz:
https://www.jstor.org/stable/2047441