TY - BOOK ID - 67213864 TI - Stable domination and independence in algebraically closed valued fields AU - Haskell, Deirdre AU - Hrushovski, Ehud AU - Macpherson, Dugald. PY - 2008 VL - 30 SN - 9780521889810 9780511546471 9780521335157 0511546475 9780511371042 0511371047 0521889812 9786611156237 6611156232 9780511370038 0511370032 1107187664 0511369026 128115623X 0511370571 0511369514 0521335159 PB - Cambridge ; New York : Cambridge University Press, DB - UniCat KW - Model theory KW - Valued fields KW - Domination (Graph theory) KW - Model theory. KW - Valued fields. KW - Graph theory KW - Fields, Valued KW - Topological fields KW - Logic, Symbolic and mathematical UR - https://www.unicat.be/uniCat?func=search&query=sysid:67213864 AB - This book addresses a gap in the model-theoretic understanding of valued fields that had limited the interactions of model theory with geometry. It contains significant developments in both pure and applied model theory. Part I of the book is a study of stably dominated types. These form a subset of the type space of a theory that behaves in many ways like the space of types in a stable theory. This part begins with an introduction to the key ideas of stability theory for stably dominated types. Part II continues with an outline of some classical results in the model theory of valued fields and explores the application of stable domination to algebraically closed valued fields. The research presented here is made accessible to the general model theorist by the inclusion of the introductory sections of each part. ER -