ωι-Sonslin trees under countable support iterations

T. Miyamoto

Fundamenta Mathematicae (1993)

  • Volume: 142, Issue: 3, page 257-261
  • ISSN: 0016-2736

Abstract

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We show the property “is proper and preserves every ω 1 -Souslin tree” is preserved by countable support iteration.

How to cite

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Miyamoto, T.. "ωι-Sonslin trees under countable support iterations." Fundamenta Mathematicae 142.3 (1993): 257-261. <http://eudml.org/doc/211985>.

@article{Miyamoto1993,
abstract = {We show the property “is proper and preserves every $ω_1$-Souslin tree” is preserved by countable support iteration.},
author = {Miyamoto, T.},
journal = {Fundamenta Mathematicae},
keywords = {properness; Souslin tree; countable support iteration},
language = {eng},
number = {3},
pages = {257-261},
title = {ωι-Sonslin trees under countable support iterations},
url = {http://eudml.org/doc/211985},
volume = {142},
year = {1993},
}

TY - JOUR
AU - Miyamoto, T.
TI - ωι-Sonslin trees under countable support iterations
JO - Fundamenta Mathematicae
PY - 1993
VL - 142
IS - 3
SP - 257
EP - 261
AB - We show the property “is proper and preserves every $ω_1$-Souslin tree” is preserved by countable support iteration.
LA - eng
KW - properness; Souslin tree; countable support iteration
UR - http://eudml.org/doc/211985
ER -

References

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  1. [1] U. Avraham, K. Devlin and S. Shelah, The consistency with CH of some consequences of Martin’s Axiom plus 2 0 α > α 1 , Israel J. Math. 31 (1978), 19-33. Zbl0382.03040
  2. [2] S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, 1982. 

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