Stable domination and independence in algebraically closed valued fields
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...
| मुख्य लेखकों: | , , |
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| स्वरूप: | पुस्तक |
| प्रकाशित: |
Cambridge University Press
2008
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| _version_ | 1826264957717577728 |
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| author | Haskell, D Hrushovski, E Macpherson, D |
| author_facet | Haskell, D Hrushovski, E Macpherson, D |
| author_sort | Haskell, D |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T20:16:08Z |
| format | Book |
| id | oxford-uuid:2c310f63-ed84-4f97-baf3-17f3f789bf2a |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:16:08Z |
| publishDate | 2008 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:2c310f63-ed84-4f97-baf3-17f3f789bf2a2022-03-26T12:35:31ZStable domination and independence in algebraically closed valued fieldsBookhttp://purl.org/coar/resource_type/c_2f33uuid:2c310f63-ed84-4f97-baf3-17f3f789bf2aSymplectic Elements at OxfordCambridge University Press2008Haskell, DHrushovski, EMacpherson, DThis 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. |
| spellingShingle | Haskell, D Hrushovski, E Macpherson, D Stable domination and independence in algebraically closed valued fields |
| title | Stable domination and independence in algebraically closed valued fields |
| title_full | Stable domination and independence in algebraically closed valued fields |
| title_fullStr | Stable domination and independence in algebraically closed valued fields |
| title_full_unstemmed | Stable domination and independence in algebraically closed valued fields |
| title_short | Stable domination and independence in algebraically closed valued fields |
| title_sort | stable domination and independence in algebraically closed valued fields |
| work_keys_str_mv | AT haskelld stabledominationandindependenceinalgebraicallyclosedvaluedfields AT hrushovskie stabledominationandindependenceinalgebraicallyclosedvaluedfields AT macphersond stabledominationandindependenceinalgebraicallyclosedvaluedfields |