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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
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

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
Copyright
Copyright © Association for Symbolic Logic 1995

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References

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