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ArticleOriginal scientific text

Title

ωι-Sonslin trees under countable support iterations

Authors ¹

Affiliations

Department of Information, Systems And Quantitative, Sciences Nanzan University 18, Yamazato-Cho, Showa-Ku, Nagoya 466, Japan

Abstract

We show the property "is proper and preserves every

ω_{1}

-Souslin tree" is preserved by countable support iteration.

U. Avraham, K. Devlin and S. Shelah, The consistency with CH of some consequences of Martin's Axiom plus $2^{α}_0 > α_{1}$ , Israel J. Math. 31 (1978), 19-33.
S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, 1982.

Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm142/fm14234.pdf