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1. |
Record Nr. |
UNINA9910797708403321 |
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Autore |
Hrushovski Ehud |
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Titolo |
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
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Pubbl/distr/stampa |
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Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (227 p.) |
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Collana |
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Annals of Mathematics Studies ; ; Number 192 |
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Classificazione |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
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Sommario/riassunto |
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Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction |
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from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods. No previous knowledge of non-archimedean geometry is assumed. Model-theoretic prerequisites are reviewed in the first sections. |
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2. |
Record Nr. |
UNINA9910821402303321 |
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Autore |
Font Márta |
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Titolo |
Coloman, King of Galicia and Duke of Slavonia (1208-1241) : medieval central Europe and Hungarian power / / by Márta Font and Gábor Barabás [[electronic resource]] |
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Pubbl/distr/stampa |
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Leeds : , : ARC Humanities Press, , 2019 |
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ISBN |
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Descrizione fisica |
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1 online resource (xvi, 143 pages) : digital, PDF file(s) |
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Collana |
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Disciplina |
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Soggetti |
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HISTORY / Medieval |
Galicia (Poland and Ukraine) History |
Galicia (Poland and Ukraine) Kings and rulers |
Hungary Kings and rulers |
Hungary History 1000-1699 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 20 Nov 2020). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- CONTENTS -- List of Illustrations -- Foreword -- Introduction -- Chapter 1. The Galician Context in 1205 -- Chapter 2. The Agreement of Scepus -- Chapter 3. Coloman's Coronation as King of Galicia: Date and Place -- Chapter 4. The Hungarian Elite and Coloman's Court -- Chapter 5. Coloman's Position in Halych, 1215-22: Campaigns and Opponents -- Chapter 6. Upholding the Galician Claim: Coloman's Place in Hungary -- Chapter 7. Coloman and Scepus, before 1226 -- Chapter 8. Coloman as Duke of Whole Slavonia from 1226 -- Chapter 9. Coloman's Status and the Inner Workings of the Duchy -- Chapter 10. Coloman's Ecclesiastical and Secular Actitivities in Slavonia -- Chapter 11. Coloman's Rule in Slavonia -- Chapter 12. Politics and |
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Dynastic Affairs -- Chapter 13. Challenges in the Balkans -- Chapter 14. The Mongol Attack and Coloman's Death -- Conclusion: Coloman in the Eyes of Posterity -- Bibliography -- Index |
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Sommario/riassunto |
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A figure of crucial importance to scholarship on western and eastern Europe alike, King Coloman (1208-1241) here receives long-overdue scholarly treatment as a key figure of the thirteenth century. The Árpád prince ruled over a vast area in Central Europe which remained largely affiliated to the Western Church, territories that comprise modern-day Hungary, Slovakia, Croatia, and Bosnia. This study draws on Hungarian and other research that is inaccessible outside the region and places Coloman at the crossroads of Latin Christendom, Eastern Orthodoxy, and the Mongol Empire. |
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3. |
Record Nr. |
UNINA9910145992203321 |
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Titolo |
Stem cells |
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Pubbl/distr/stampa |
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Dayton, Ohio, : AlphaMed Press |
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[Hoboken, NJ], : Wiley-Blackwell |
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Oxford ; ; Cary, NC, : Oxford University Press |
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ISSN |
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Disciplina |
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Soggetti |
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Cloning |
Clone cells |
Stem cells |
Cell differentiation |
Hematopoietic stem cells |
Cell Differentiation |
Cell Division |
Clone Cells |
Hematopoietic Stem Cells |
Stem Cells |
Clonage |
Clones cellulaires |
Cellules souches |
Cellules - Différenciation |
Cellules souches hématopoïétiques |
Células madre |
Periodical |
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periodicals. |
Periodicals. |
Périodiques. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Periodico |
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