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Forcing with stable posets

Published:1982-03 Issue:1 Volume:47 Page:37-42
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Avraham Uri,Shelah Saharon

Abstract

AbstractThe class of stable posets is defined and investigated. We give a forcing construction of a universe of set theory which satisfies a weak form of Martin's Axiom and 2ℵ0 > ℵ1 and yet some propositions which follow from CH hold in this universe.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference12 articles.

1. A Note on the Normal Moore Space Conjecture

2. Concerning similarity transformations of linearly ordered sets

3. A weak version of ◊ which follows from 2ℵ 0<2ℵ 1

4. Αll $ℵ_1$-dense sets of reals can be isomorphic

5. Martin’s axiom does not imply that every two ℕ1-dense sets of reals are isomorphic

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1. Infinite Combinatorics;Handbook of the History of Logic;2012

2. The group of automorphisms of L∞is algebraically reflexive;Studia Mathematica;2004

3. Chain conditions in maximal models;Fundamenta Mathematicae;2001

4. Hereditarily separable groups and monochromatic uniformization;Israel Journal of Mathematics;1994-10

5. On the number of non-isomorphic subgraphs;Israel Journal of Mathematics;1994-10

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