Abstract
Jech and Shelah in J Symb Log, 55, 822–830 (1990) studied full reflection below \({\aleph_\omega}\), and produced a model in which the extent of full reflection is maximal in a certain sense. We produce a model in which full reflection is maximised in a different direction.
Similar content being viewed by others
References
Cummings J., Foreman M.: The tree property. Adv. Math. 133, 1–32 (1998)
Jech T., Shelah S.: Full reflection of stationary sets below \({\aleph_\omega}\). J. Symb. Log. 55, 822–830 (1990)
Jech T.: Stationary Subsets of Inaccessible Cardinals, Axiomatic Set theory (Contemporary Mathematics 31), pp. 115–142. American Mathematical Society, Providence, RI (1984)
Jensen R.B.: The fine structure of the constructible hierarchy. Ann. Math. Log. 4, 229–308 (1972)
Laver R.: Making the supercompactness of κ indestructible under κ-directed closed forcing. Isr. J. Math. 29, 385–388 (1978)
Lévy A., Solovay R.M.: Measurable cardinals and the continuum hypothesis. Isr. J. Math. 5, 234–248 (1967)
Magidor M.: Reflecting stationary sets. J. Symb. Log. 47, 755–771 (1982)
Magidor, M.: Private Communication
Magidor, M.: Private Communication
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cummings, J., Wylie, D. More on full reflection below \({\aleph_\omega}\) . Arch. Math. Logic 49, 659–671 (2010). https://doi.org/10.1007/s00153-010-0191-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00153-010-0191-x