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Hechler's Theorem for tall analytic P-ideals

Published online by Cambridge University Press:  12 March 2014

Barnabás Farkas
Barnabás Farkas*
Affiliation:
Institute of Mathematics, Budapest University of Technology and Economics, Egry Jozsef U. 1 (Building H), 1111 Budapest, Hungary, E-mail: [email protected]
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Abstract

We prove the following version of Hechler's classical theorem: For each partially ordered set (Q, ≤) with the property that every countable subset of Q has a strict upper bound in Q, there is a ccc forcing notion such that in the generic extension for each tall analytic P-ideal (coded in the ground model) a cofinal subset of is order isomorphic to (Q, ≤).

Keywords

Hechler's Theoremforcinganalytic P-ideals
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 76 , Issue 2 , June 2011 , pp. 729 - 736
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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