参考文献:1. Baudisch A., Pillay A.: A free pseudospace. J. Symb. Log. 65, 443鈥?60 (2000) CrossRef 2. Baudisch, A., Martin-Pizarro, A., Ziegler, M.: Ample hierarchy. Fund. Math. 224, 97鈥?53 (2014) 3. Berenstein, A., Vassiliev, E.: Geometric structures with an independent subset. MODNET (Preprint) 4. Berenstein A., Vassiliev E.: On lovely pairs of geometric structures. Ann. Pure Appl. Log. 161(7), 866鈥?78 (2010) CrossRef 5. Evans D.: Ample dividing. J. Symb. Log. 68, 1385鈥?402 (2003) CrossRef 6. Hrushovski E., Pillay A.: Weakly normal groups. Log. Colloq. 85, 233鈥?44 (1987) 7. Pillay A.: The geometry of forking and groups of finite Morley rank. J. Symb. Log. 60(4), 1251鈥?259 (1995) CrossRef 8. Pillay A.: A note on CM-triviality and the geometry of forking. J. Symb. Log. 65(1), 474鈥?80 (2000) CrossRef 9. Tent, K.: The free pseudospace is / n-ample, but not ( / n +聽 1)-ample. J. Symb. Log. 79(2), 410鈥?28 (2014)
刊物类别:Mathematics and Statistics
刊物主题:Mathematics Mathematical Logic and Foundations Mathematics Algebra
出版者:Springer Berlin / Heidelberg
ISSN:1432-0665
文摘
We prove that a simple theory of SU-rank 1 is n-ample if and only if the associated theory equipped with a predicate for an independent dense subset is n-ample for n at least 2.