Some weak fragments of Martin’s axiom related to the rectangle refining property

被引：0
作者：
Teruyuki Yorioka
机构：
[1] Shizuoka University,Department of Mathematics
来源：
Archive for Mathematical Logic | 2008年 / 47卷
关键词：
The rectangle refining property; Martin’s axiom and its fragments; 03E50; 03E35;
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摘要：
We introduce the anti-rectangle refining property for forcing notions and investigate fragments of Martin’s axiom for ℵ1 dense sets related to the anti-rectangle refining property, which is close to some fragment of Martin’s axiom for ℵ1 dense sets related to the rectangle refining property, and prove that they are really weaker fragments.
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[1]  
Abraham U.(1985)On the consistency of some partition theorems for continuous colorings, and the structure of ℵ Ann. Pure Appl. Logic 29 123-206
[2]  
Rubin M.(1997)-dense real order types Fund. Math. 152 165-180
[3]  
Shelah S.(1994)Partition properties of ω Ann. Pure Appl. Logic 69 1-25
[4]  
Abraham U.(1970) compatible with CH Proc. Natl. Acad. Sci. USA 67 1748-1753
[5]  
Todorčević S.(1993)Fragments of Martin’s axiom and J. Math. Soc. Jpn 45 357-368
[6]  
Bagaria J.(1945) sets of reals Mat. Sb. 16 281-288
[7]  
Baumgartner J.(1979)Embedding trees in the rationals Fund. Math. 102 173-181
[8]  
Malitz J.(2001)Almost coinciding families and gaps in Fund. Math. 168 77-104
[9]  
Reinhardt W.(2002)Sur une propriété caractéristique de l’ensemble des nombres réela Trans. Am. Math. Soc. 354 1783-1791
[10]  
Kamo S.(1985)Between Martin’s axiom and Souslin’s hypothesis Compositio Math. 55 295-302
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