Ladder Gaps over Stationary Sets
Journal of Symbolic Logic 69 (2):518 - 532 (2004)
| Abstract | For a stationary set $S \subseteq \omega_{1}$ and a ladder system C over S, a new type of gaps called C-Hausdorff is introduced and investigated. We describe a forcing model of ZFC in which, for some stationary set S, for every ladder C over S, every gap contains a subgap that is C-Hausdorff. But for every ladder E over \omega_{1} \ S$ there exists a gap with no subgap that is E-Hausdorff. A new type of chain condition, called polarized chain condition, is introduced. We prove that the iteration with finite support of polarized c.c.c. posets is again a polarized c.c.c poset | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,705 |
| External links |
  Try with proxy. Try with proxy. |
| Through your library | Configure |
Similar books and articlesMenachem Magidor (1982). Reflecting Stationary Sets. Journal of Symbolic Logic 47 (4):755-771.
Jiří Witzany (1995). Possible Behaviours of the Reflection Ordering of Stationary Sets. Journal of Symbolic Logic 60 (2):534-547.
Uri Abraham & Saharon Shelah (1983). Forcing Closed Unbounded Sets. Journal of Symbolic Logic 48 (3):643-657.
Uri Abraham & Saharon Shelah (2002). Coding with Ladders a Well Ordering of the Reals. Journal of Symbolic Logic 67 (2):579-597.
Thomas Jech & Saharon Shelah (1990). Full Reflection of Stationary Sets Below ℵω. Journal of Symbolic Logic 55 (2):822 - 830.
William J. Mitchell (2004). A Weak Variation of Shelah's I[Ω₂]. Journal of Symbolic Logic 69 (1):94-100.
Oliver Deiser & Dieter Donder (2003). Canonical Functions, Non-Regular Ultrafilters and Ulam's Problem on Ω. Journal of Symbolic Logic 68 (3): 713- 739.
Moti Gitik (1985). Nonsplitting Subset of Pκ(Κ+). Journal of Symbolic Logic 50 (4):881 - 894.
Natasha Dobrinen & Sy-David Friedman (2006). Co-Stationarity of the Ground Model. Journal of Symbolic Logic 71 (3):1029 - 1043.
Thomas Jech & Jiří Witzany (1994). Full Reflection at a Measurable Cardinal. Journal of Symbolic Logic 59 (2):615-630.
John Krueger (2005). Strong Compactness and Stationary Sets. Journal of Symbolic Logic 70 (3):767 - 777.
Saharon Shelah (1980). Independence Results. Journal of Symbolic Logic 45 (3):563-573.
Saharon Shelah & Jouko Väänänen (2000). Stationary Sets and Infinitary Logic. Journal of Symbolic Logic 65 (3):1311-1320.
Sean Cox (2012). PFA and Ideals on $\Omega_{2}$ Whose Associated Forcings Are Proper. Notre Dame Journal of Formal Logic 53 (3):397-412.
Teruyuki Yorioka (2003). Distinguishing Types of Gaps in P(Ω)/Fin. Journal of Symbolic Logic 68 (4):1261-1276.
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2010-08-24Total downloads0Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
