Geodesic
On a question about families of entire functions
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.
Fundamenta Mathematicae, Tome 239 (2017) no. 3, pp. 279-288 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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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

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