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1. |
Record Nr. |
UNINA9910822032303321 |
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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. |
UNISA996215631903316 |
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Titolo |
Acta geologica Hispanica |
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Pubbl/distr/stampa |
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[Barcelona, Spain], : Instituto Nacional de Geología, Consejo Superior de Investigaciones Científicas, 1966-2002 |
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ISSN |
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Descrizione fisica |
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Soggetti |
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Geology |
Paleontology |
Geology - Spain |
Geologie |
Geowissenschaften |
Zeitschrift |
Zeitschrift |
Periodicals. |
Spain |
Spanien |
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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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Note generali |
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Año 7 includes a Número bibliográfico entitled: Bibliografía geológica española, pub. in 1970. |
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3. |
Record Nr. |
UNINA9910563028303321 |
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Autore |
Müller Bertram |
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Titolo |
Absurde literatur in Russland : Entstehung und Entwicklung / / Bertram Müller |
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Pubbl/distr/stampa |
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Munich, Germany, : Verlag Otto Sagner, 1978 |
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Descrizione fisica |
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1 online resource (210 p.) |
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Collana |
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Arbeiten und Texte zur Slavistik ; ; 19 |
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Soggetti |
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Literature & literary studies |
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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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Sommario/riassunto |
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Diese Arbeit ist die erste monographische Darstellung der russischen absurden Literatur. Der Begriff des Absurden wird dabei philosophisch verstanden. Im Mittelpunkt stehen Werke der Leningrader Schriftsteller Daniil Charms und Aleksandr Vvedenskij - beide waren Mitglieder der Künstergruppe "Obériu" - und Werke des Moskauer Schriftstellers Vladimir Kazakov. Die theoretische Basis der Arbeit bilden Untersuchungskriterien, die von der westlichen absurden Literatur, insbesondere von Samuel Becketts Drama "Warten auf Godot", abstrahiert sind. |
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