caa a22 4500 469126620 CHVBK 20180323133152.0 cr unu---uuuuu 170328e19921101xx s 000 0 eng 10.1007/BF01277487 doi (NATIONALLICENCE)springer-10.1007/BF01277487 Superstable theories with few countable models [Elektronische Daten] [Lee Low, Anand Pillay] Summary: We prove here: Theorem. LetT be a countable complete superstable non ω-stable theory with fewer than continuum many countable models. Then there is a definable groupG with locally modular regular generics, such thatG is not connected-by-finite and any type inG eq orthogonal to the generics has Morley rank. Corollary. LetT be a countable complete superstable theory in which no infinite group is definable. ThenT has either at most countably many, or exactly continuum many countable models, up to isomorphism. Springer-Verlag, 1992 Low Lee Department of Mathematics, University of Notre Dame, 46556, Notre Dame, JN, USA aut Pillay Anand Department of Mathematics, University of Notre Dame, 46556, Notre Dame, JN, USA aut Archive for Mathematical Logic Springer-Verlag 31/6(1992-11-01), 457-465 0933-5846 31:6<457 1992 31 153 https://doi.org/10.1007/BF01277487 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01277487 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Low Lee Department of Mathematics, University of Notre Dame, 46556, Notre Dame, JN, USA aut NATIONALLICENCE 700 1- Pillay Anand Department of Mathematics, University of Notre Dame, 46556, Notre Dame, JN, USA aut NATIONALLICENCE 773 0- Archive for Mathematical Logic Springer-Verlag 31/6(1992-11-01), 457-465 0933-5846 31:6<457 1992 31 153 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer