On the weak Freese–Nation property of ?(ω)

Archive for Mathematical Logic 40 (6):425-435 (2001)
  Copy   BIBTEX


Continuing [6], [8] and [16], we study the consequences of the weak Freese-Nation property of (?(ω),⊆). Under this assumption, we prove that most of the known cardinal invariants including all of those appearing in Cichoń's diagram take the same value as in the corresponding Cohen model. Using this principle we could also strengthen two results of W. Just about cardinal sequences of superatomic Boolean algebras in a Cohen model. These results show that the weak Freese-Nation property of (?(ω),⊆) captures many of the features of Cohen models and hence may be considered as a principle axiomatizing a good portion of the combinatorics available in Cohen models



    Upload a copy of this work     Papers currently archived: 92,953

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

More on cichoń's diagram and infinite games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.
More on Cichon's Diagram and Infinite Games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.
Making doughnuts of Cohen reals.Lorenz Halbeisen - 2003 - Mathematical Logic Quarterly 49 (2):173-178.
Some Open Questions for Superatomic Boolean Algebras.Juan Carlos Martínez - 2005 - Notre Dame Journal of Formal Logic 46 (3):353-356.
Ideals over ω and cardinal invariants of the continuum.P. Matet & J. Pawlikowski - 1998 - Journal of Symbolic Logic 63 (3):1040-1054.
Semi-Cohen Boolean algebras.Bohuslav Balcar, Thomas Jech & Jindřich Zapletal - 1997 - Annals of Pure and Applied Logic 87 (3):187-208.


Added to PP

50 (#326,694)

6 months
5 (#710,905)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Sticks and clubs.Sakaé Fuchino, Saharon Shelah & Lajos Soukup - 1997 - Annals of Pure and Applied Logic 90 (1-3):57-77.

Add more references