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Stable Domination And Independence In Algebraically Closed Valued Fields by Deirdre Haskell
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1Stable Domination And Independence In Algebraically Closed Valued Fields
By Deirdre Haskell, Ehud Hrushovski and Dugald Macpherson
We seek to create tools for a model-theoretic analysis of types in algebraically closed valued fields (ACVF). We give evidence to show that a notion of 'domination by stable part' plays a key role. In Part A, we develop a general theory of stably dominated types, showing they enjoy an excellent independence theory, as well as a theory of definable types and germs of definable functions. In Part B, we show that the general theory applies to ACVF. Over a sufficiently rich base, we show that every type is stably dominated over its image in the value group. For invariant types over any base, stable domination coincides with a natural notion of `orthogonality to the value group'. We also investigate other notions of independence, and show that they all agree, and are well-behaved, for stably dominated types. One of these is used to show that every type extends to an invariant type; definable types are dense. Much of this work requires the use of imaginary elements. We also show existence of prime models over reasonable bases, possibly including imaginaries.
“Stable Domination And Independence In Algebraically Closed Valued Fields” Metadata:
- Title: ➤ Stable Domination And Independence In Algebraically Closed Valued Fields
- Authors: Deirdre HaskellEhud HrushovskiDugald Macpherson
- Language: English
Edition Identifiers:
- Internet Archive ID: arxiv-math0511310
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The book is available for download in "texts" format, the size of the file-s is: 86.56 Mbs, the file-s for this book were downloaded 117 times, the file-s went public at Mon Sep 23 2013.
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1Life of Jesse Harding Pomeroy
By E. Luscomb Haskell
"The Life of Jesse Harding Pomeroy: The Most Remarkable Case in the History of Crime or Criminal Law" by E. Luscomb Haskell was published in Boston, Massachusetts in 1892 by the Harvard Law School Library, and is part of "The Making of the Modern Law, Legal Treatises, 1800-1926" series. Remarkable insight into the life of Pomeroy prior to, during, and following the crimes for which he was sentenced to life imprisonment at the tender age of 14, this is an excellent complement to Pomeroy's "autobiography" which was published immediately following his trial in 1874. The advantages offered by this short book are that it was researched and published less than twenty years after the trial and conviction; that the accused was still alive at the time of publication; and that a large amount relates to the legal perspective of one of the most fascinating and confounding episodes of American criminology. Jesse Harding Pomeroy was sentenced to life in prison in 1874 at the age of 14 for the commission of two murders, and has therefore been referred to as "America's youngest serial killer" to this day. Other books have been written about Pomeroy over the years, as it makes for a most interesting character study, in addition to its legal implications, journalistic influence, and the effect of public outcry for justice and safety were preeminent. - Summary by Roger Melin
“Life of Jesse Harding Pomeroy” Metadata:
- Title: Life of Jesse Harding Pomeroy
- Author: E. Luscomb Haskell
- Language: English
- Publish Date: 1892
Edition Specifications:
- Format: Audio
- Number of Sections: 10
- Total Time: 02:12:55
Edition Identifiers:
- libriVox ID: 11160
Links and information:
- LibriVox Link: LibriVox
- Text Source: Org/details/life-of-pomeroy
- Number of Sections: 10 sections
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- File Name: jessehardingpomeroy_1608_librivox
- File Format: zip
- Total Time: 02:12:55
- Download Link: Download link
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