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A combinatorial forcing for coding the universe by a real when there are no sharps

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah  and
Lee J. Stanley
Saharon Shelah
Affiliation:
The Hebrew University of Jerusalem, Department of Mathematics, Jerusalem, Israel, E-mail: shelah@sunrise.huji.ac.il Rutgers University, Department of Mathematics, New Brunswick, New Jersey 08903, E-mail: shelah@math.rutgers.edu
Lee J. Stanley
Affiliation:
Lehigh University, Department of Mathematics, Bethlehem, PA 18015, E-mail: ljs4@lehigh.edu
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Abstract

Assuming 0# does not exist, we present a combinatorial approach to Jensen's method of coding by a real. The forcing uses combinatorial consequences of fine structure (including the Covering Lemma, in various guises), but makes no direct appeal to fine structure itself.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 60 , Issue 1 , March 1995 , pp. 1 - 35
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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