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Chain conditions in dependent groups
Authors:Itay Kaplan  Saharon Shelah
Affiliation:1. Mathematisches Institut, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany;2. The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel;3. Department of Mathematics, Hill Center-Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, USA
Abstract:
In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly2 dependent theories.
Keywords:03C45   03C98   05D99
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