caa a22 4500 469068590 CHVBK 20180323132915.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF02808073 doi (NATIONALLICENCE)springer-10.1007/BF02808073 Uniformization and the diversity of Whitehead groups [Elektronische Daten] [P. Eklof, A. Mekler, S. Shelah] Techniques of uniformization are used to prove that it is not consistent that the Whitehead groups of cardinality ℵ1 are exactly the strongly ℵ1-free groups. Some consequences of the assumption that every strongly ℵ1-free group of cardinality ℵ1 is Whitehead are derived. Other results about uniformization are also proved. Hebrew University, 1992 Eklof P. Department of Mathematics, University of California at Irvine, 92717-0001, Irvine, CA, USA aut Mekler A. Department of Mathematics, Simon Fraser University, Burnaby British Columbis, V5A 1S6, Canada aut Shelah S. Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel aut Israel Journal of Mathematics Springer-Verlag 80/3(1992-10-01), 301-321 0021-2172 80:3<301 1992 80 11856 https://doi.org/10.1007/BF02808073 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808073 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Eklof P. Department of Mathematics, University of California at Irvine, 92717-0001, Irvine, CA, USA aut NATIONALLICENCE 700 1- Mekler A. Department of Mathematics, Simon Fraser University, Burnaby British Columbis, V5A 1S6, Canada aut NATIONALLICENCE 700 1- Shelah S. Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 80/3(1992-10-01), 301-321 0021-2172 80:3<301 1992 80 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer