naa a22 4500 510783376 CHVBK 20180411083254.0 cr unu---uuuuu 180411e20130301xx s 000 0 eng 10.1007/s11856-012-0153-6 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0153-6 Fully Hilbertian fields [Elektronische Daten] [Lior Bary-Soroker, Elad Paran] We introduce the notion of fully Hilbertian fields, a strictly stronger notion than that of Hilbertian fields. We show that this class of fields exhibits the same good behavior as Hilbertian fields, but for fields of uncountable cardinality, is more natural than the notion of Hilbertian fields. In particular, we show it can be used to achieve stronger Galois theoretic results. Our proofs also provide a step toward the so-called Jarden-Lubotzky twinning principle. Hebrew University Magnes Press, 2012 Bary-Soroker Lior Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram The Hebrew University of Jerusalem, 91904, Jerusalem, Israel aut Paran Elad School of Mathematical Sciences, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 194/2(2013-03-01), 507-538 0021-2172 194:2<507 2013 194 11856 https://doi.org/10.1007/s11856-012-0153-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0153-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bary-Soroker Lior Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram The Hebrew University of Jerusalem, 91904, Jerusalem, Israel aut NATIONALLICENCE 700 1- Paran Elad School of Mathematical Sciences, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 194/2(2013-03-01), 507-538 0021-2172 194:2<507 2013 194 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer