Geodesic
On a question about families of entire functions
Ashutosh Kumar1 ; Saharon Shelah2
1 Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J Safra Campus Givat Ram Jerusalem 91904, Israel
2 Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J Safra Campus Givat Ram Jerusalem 91904, Israel and Department of Mathematics Rutgers, The State University of New Jersey Hill Center, Busch Campus 110 Frelinghuysen Road Piscataway, NJ 08854-8019, U.S.A.
Fundamenta Mathematicae, Tome 239 (2017) no. 3, pp. 279-288

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

We show that the existence of a continuum sized family $\mathcal {F}$ of entire functions such that for each complex number $z$, the set $\{ f(z) : f \in \mathcal {F}\}$ has size less than continuum is undecidable in ZFC plus the negation of CH.
DOI : 10.4064/fm252-3-2017
Keywords: existence continuum sized family mathcal entire functions each complex number set mathcal has size continuum undecidable zfc plus negation

Ashutosh Kumar 1 ; Saharon Shelah 2

1 Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J Safra Campus Givat Ram Jerusalem 91904, Israel
2 Einstein Institute of Mathematics The Hebrew University of Jerusalem Edmond J Safra Campus Givat Ram Jerusalem 91904, Israel and Department of Mathematics Rutgers, The State University of New Jersey Hill Center, Busch Campus 110 Frelinghuysen Road Piscataway, NJ 08854-8019, U.S.A. 
@article{10_4064_fm252_3_2017,
     author = {Ashutosh Kumar and Saharon Shelah},
     title = {On a question about families of entire functions},
     journal = {Fundamenta Mathematicae},
     pages = {279--288},
     publisher = {mathdoc},
     volume = {239},
     number = {3},
     year = {2017},
     doi = {10.4064/fm252-3-2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm252-3-2017/}
}
TY  - JOUR
AU  - Ashutosh Kumar
AU  - Saharon Shelah
TI  - On a question about families of entire functions
JO  - Fundamenta Mathematicae
PY  - 2017
SP  - 279
EP  - 288
VL  - 239
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm252-3-2017/
DO  - 10.4064/fm252-3-2017
LA  - en
ID  - 10_4064_fm252_3_2017
ER  - 
%0 Journal Article
%A Ashutosh Kumar
%A Saharon Shelah
%T On a question about families of entire functions
%J Fundamenta Mathematicae
%D 2017
%P 279-288
%V 239
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm252-3-2017/
%R 10.4064/fm252-3-2017
%G en
%F 10_4064_fm252_3_2017
Ashutosh Kumar; Saharon Shelah. On a question about families of entire functions. Fundamenta Mathematicae, Tome 239 (2017) no. 3, pp. 279-288. doi: 10.4064/fm252-3-2017

Cité par Sources :