Annals of Pure and Applied Logic 171 (7):102807 (2020)
| Abstract |
The main result of this paper is an improvement of the upper bound on the cardinal invariant $cov^*(L_0)$ that was discovered in [11]. Here $L_0$ is the ideal of subsets of the set of natural numbers that have asymptotic density zero. This improved upper bound is also dualized to get a better lower bound on the cardinal $non^*(L_0)$. En route some variations on the splitting number are introduced and several relationships between these variants are proved.
|
| Keywords | No keywords specified (fix it) |
| Categories | (categorize this paper) |
| DOI | 10.1016/j.apal.2020.102807 |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Souslin Forcing.Jaime I. Ihoda & Saharon Shelah - 1988 - Journal of Symbolic Logic 53 (4):1188-1207.
Sticks and Clubs.Sakaé Fuchino, Saharon Shelah & Lajos Soukup - 1997 - Annals of Pure and Applied Logic 90 (1-3):57-77.
Calude, C., Calude, E. And Khoussainov, B., Deterministic.S. Fuchino, S. Shelah, L. Soukup, M. Gitik, C. Merimovich, R. Laver, S. Riis, P. Sewell, S. Soloviev & O. Spinas - 1997 - Annals of Pure and Applied Logic 90 (1-3):277.
Combinatorics for the Dominating and Unsplitting Numbers.Jason Aubrey - 2004 - Journal of Symbolic Logic 69 (2):482-498.
Citations of this work BETA
No citations found.
Similar books and articles
Bounding, Splitting, and Almost Disjointness.Jörg Brendle & Dilip Raghavan - 2014 - Annals of Pure and Applied Logic 165 (2):631-651.
Pair-Splitting, Pair-Reaping and Cardinal Invariants of F Σ -Ideals.Michael Hrušák, David Meza-Alcántara & Hiroaki Minami - 2010 - Journal of Symbolic Logic 75 (2):661-677.
Antichains of perfect and splitting trees.Paul Hein & Otmar Spinas - 2020 - Archive for Mathematical Logic 59 (3-4):367-388.
Pseudo P-points and splitting number.Alan Dow & Saharon Shelah - 2019 - Archive for Mathematical Logic 58 (7-8):1005-1027.
Ray-Splitting Billiards.R. Blümel, P. M. Koch & L. Sirko - 2001 - Foundations of Physics 31 (2):269-281.
On the Cofinality of Ultrapowers.Andreas Blass & Heike Mildenberger - 1999 - Journal of Symbolic Logic 64 (2):727-736.
Analytic Countably Splitting Families.Otmar Spinas - 2004 - Journal of Symbolic Logic 69 (1):101-117.
On the Cofinality of Ultrapowers.Andreas Blass & Heike Mildenberger - 1999 - Journal of Symbolic Logic 64 (2):727-736.
Around Splitting and Reaping for Partitions of Ω.Hiroaki Minami - 2010 - Archive for Mathematical Logic 49 (4):501-518.
A Non-Splitting Theorem in the Enumeration Degrees.Mariya Ivanova Soskova - 2009 - Annals of Pure and Applied Logic 160 (3):400-418.
Applications of Nonstandard Analysis in Additive Number Theory.Renling Jin - 2000 - Bulletin of Symbolic Logic 6 (3):331-341.
The Disinterested Spectator: Geiger’s and Husserl’s Place in the Debate on the Splitting of the Ego.Michele Averchi - 2015 - Studia Phaenomenologica 15:227-246.
Friedberg Splittings in $Sigma^0_3$ Quotient Lattices of $Mathscr{E}$.Todd Hammond - 1999 - Journal of Symbolic Logic 64 (4):1403-1406.
Splitting Number at Uncountable Cardinals.Jindrich Zapletal - 1997 - Journal of Symbolic Logic 62 (1):35-42.
Many Simple Cardinal Invariants.Martin Goldstern & Saharon Shelah - 1993 - Archive for Mathematical Logic 32 (3):203-221.
Analytics
Added to PP index
2020-03-20
Total views
9 ( #909,992 of 2,439,542 )
Recent downloads (6 months)
1 ( #433,110 of 2,439,542 )
2020-03-20
Total views
9 ( #909,992 of 2,439,542 )
Recent downloads (6 months)
1 ( #433,110 of 2,439,542 )
How can I increase my downloads?
Downloads
