caa a22 4500 469126833 CHVBK 20180323133153.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF01627503 doi (NATIONALLICENCE)springer-10.1007/BF01627503 Stable theories without dense forking chains [Elektronische Daten] [Bernhard Herwig, James Loveys, Anand Pillay, Predag Tanović, O. Wagner] Summary: We define a generalized notion of rank for stable theories without dense forking chains, and use it to derive that every type is domination-equivalent to a finite product of regular types. We apply this to show that in a small theory admitting finite coding, no realisation of a nonforking extension of some strong type can be algebraic over some realisation of a forking extension. Springer-Verlag, 1992 Herwig Bernhard Mathematisches Institut, Abteilung für Logik und Grundlagenforschung, Universität Freiburg, Albertstrasse 23b, W-7800, Freiburg, Federal Republic of Germany aut Loveys James Department of Mathematics and Statistics, McGill University, PO H3A 2K6, Montreal, Canada aut Pillay Anand Department of Mathematics, University of Notre Dame, PO Box 398, 46556, Notre Dame, IN, USA aut Tanović Predag Department of Mathematics and Statistics, McGill University, PO H3A 2K6, Montreal, Canada aut Wagner O. Mathematisches Institut, Abteilung für Logik und Grundlagenforschung, Universität Freiburg, Albertstrasse 23b, W-7800, Freiburg, Federal Republic of Germany aut Archive for Mathematical Logic Springer-Verlag 31/5(1992-09-01), 297-303 0933-5846 31:5<297 1992 31 153 https://doi.org/10.1007/BF01627503 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01627503 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Herwig Bernhard Mathematisches Institut, Abteilung für Logik und Grundlagenforschung, Universität Freiburg, Albertstrasse 23b, W-7800, Freiburg, Federal Republic of Germany aut NATIONALLICENCE 700 1- Loveys James Department of Mathematics and Statistics, McGill University, PO H3A 2K6, Montreal, Canada aut NATIONALLICENCE 700 1- Pillay Anand Department of Mathematics, University of Notre Dame, PO Box 398, 46556, Notre Dame, IN, USA aut NATIONALLICENCE 700 1- Tanović Predag Department of Mathematics and Statistics, McGill University, PO H3A 2K6, Montreal, Canada aut NATIONALLICENCE 700 1- Wagner O. Mathematisches Institut, Abteilung für Logik und Grundlagenforschung, Universität Freiburg, Albertstrasse 23b, W-7800, Freiburg, Federal Republic of Germany aut NATIONALLICENCE 773 0- Archive for Mathematical Logic Springer-Verlag 31/5(1992-09-01), 297-303 0933-5846 31:5<297 1992 31 153 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer