Archive for Mathematical Logic 60 (3):343-411 (2021)

We reimplement the creature forcing construction used by Fischer et al. :1045–1103, 2017. arXiv:1402.0367 [math.LO]) to separate Cichoń’s diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1007/s00153-020-00746-3
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 70,192
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Many Simple Cardinal Invariants.Martin Goldstern & Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (3):203-221.

View all 6 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

More on Cichoń's Diagram and Infinite Games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.
Larger Cardinals in Cichoń's Diagram.Jörg Brendle - 1991 - Journal of Symbolic Logic 56 (3):795-810.
Matrix Iterations and Cichon’s Diagram.Diego Alejandro Mejía - 2013 - Archive for Mathematical Logic 52 (3-4):261-278.
More on Cichon's Diagram and Infinite Games.Masaru Kada - 2000 - Journal of Symbolic Logic 65 (4):1713-1724.
Larger Cardinals in Cichon's Diagram.Jorg Brendle - 1991 - Journal of Symbolic Logic 56 (3):795.
The Cichoń Diagram.Tomek Bartoszyński, Haim Judah & Saharon Shelah - 1993 - Journal of Symbolic Logic 58 (2):401 - 423.
Gap Forcing: Generalizing the Lévy-Solovay Theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
A Cardinal Pattern Inspired by AD.Arthur W. Apter - 1996 - Mathematical Logic Quarterly 42 (1):211-218.
Tall Cardinals.Joel D. Hamkins - 2009 - Mathematical Logic Quarterly 55 (1):68-86.


Added to PP index

Total views
13 ( #769,354 of 2,507,504 )

Recent downloads (6 months)
1 ( #416,983 of 2,507,504 )

How can I increase my downloads?


My notes