Archive for Mathematical Logic

, Volume 52, Issue 5, pp 483–496

Aronszajn trees and the successors of a singular cardinal

Article

DOI: 10.1007/s00153-013-0326-y

Cite this article as:
Unger, S. Arch. Math. Logic (2013) 52: 483. doi:10.1007/s00153-013-0326-y

Abstract

From large cardinals we obtain the consistency of the existence of a singular cardinal κ of cofinality ω at which the Singular Cardinals Hypothesis fails, there is a bad scale at κ and κ++ has the tree property. In particular this model has no special κ+-trees.

Keywords

Large cardinals Forcing Tree property Special tree Bad scale 

Mathematics Subject Classification (2000)

03E35 03E55 

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Mathematical SciencesCarnegie Mellon UniversityPittsburghUSA

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