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Combinatorics on ideals and forcing with trees

Published online by Cambridge University Press:  12 March 2014

Marcia J. Groszek
Marcia J. Groszek*
Affiliation:
Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755
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Abstract

Classes of forcings which add a real by forcing with branching conditions are examined, and conditions are found which guarantee that the generic real is of minimal degree over the ground model. An application is made to almost-disjoint coding via a real of minimal degree.

Keywords

Forcing, treesidealsminimal degreesdegrees of constructibilityalmostdisjoint coding.
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 52 , Issue 3 , September 1987 , pp. 582 - 593
Copyright
Copyright © Association for Symbolic Logic 1987

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References

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