Geodesic
Comparing the closed almost disjointness and dominating numbers
Dilip Raghavan1 ; Saharon Shelah2
1Graduate School of System Informatics Kobe University Kobe 657-8501, Japan
2Institute of Mathematics The Hebrew University Jerusalem, Israel and Department of Mathematics Rutgers University Piscataway, NJ 08854, U.S.A.
Fundamenta Mathematicae, Tome 217 (2012) no. 1, pp. 73-81

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

We prove that if there is a dominating family of size $\aleph _{1}$, then there are $\aleph _{1}$ many compact subsets of $\omega ^{\omega }$ whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.
DOI : 10.4064/fm217-1-6
Keywords: prove there dominating family size aleph there aleph many compact subsets omega omega whose union maximal almost disjoint family functions maximal respect infinite partial functions

Dilip Raghavan  1   ; Saharon Shelah  2

1 Graduate School of System Informatics Kobe University Kobe 657-8501, Japan
2 Institute of Mathematics The Hebrew University Jerusalem, Israel and Department of Mathematics Rutgers University Piscataway, NJ 08854, U.S.A. 
Dilip Raghavan; Saharon Shelah. Comparing the closed almost disjointness and
 dominating numbers. Fundamenta Mathematicae, Tome 217 (2012) no. 1, pp. 73-81. doi: 10.4064/fm217-1-6
@article{10_4064_fm217_1_6,
     author = {Dilip Raghavan and Saharon Shelah},
     title = {Comparing the closed almost disjointness and
 dominating numbers},
     journal = {Fundamenta Mathematicae},
     pages = {73--81},
     year = {2012},
     volume = {217},
     number = {1},
     doi = {10.4064/fm217-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm217-1-6/}
}
TY  - JOUR
AU  - Dilip Raghavan
AU  - Saharon Shelah
TI  - Comparing the closed almost disjointness and
 dominating numbers
JO  - Fundamenta Mathematicae
PY  - 2012
SP  - 73
EP  - 81
VL  - 217
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm217-1-6/
DO  - 10.4064/fm217-1-6
LA  - en
ID  - 10_4064_fm217_1_6
ER  - 
%0 Journal Article
%A Dilip Raghavan
%A Saharon Shelah
%T Comparing the closed almost disjointness and
 dominating numbers
%J Fundamenta Mathematicae
%D 2012
%P 73-81
%V 217
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm217-1-6/
%R 10.4064/fm217-1-6
%G en
%F 10_4064_fm217_1_6

Cité par Sources :