Non-archimedean tame topology and stably dominated types / (Record no. 81327)
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| 005 - DATE AND TIME OF LATEST TRANSACTION | |
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| fixed length control field | 151223s2016 nju ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | N$T |
| Language of cataloging | eng |
| Description conventions | rda |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781400881222 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 1400881226 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691161682 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691161686 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0691161690 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780691161693 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1515/9781400881222 |
| Source of number or code | doi |
| 029 1# - OTHER SYSTEM CONTROL NUMBER (OCLC) | |
| OCLC library identifier | CHBIS |
| System control number | 010896083 |
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| OCLC library identifier | CHVBK |
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| OCLC library identifier | DEBBG |
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| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)933388580 |
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| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 22573/ctt193cj76 |
| Source of stock number/acquisition | JSTOR |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 9452405 |
| Source of stock number/acquisition | IEEE |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA251.5 |
| Item number | .H78 2016eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 002040 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT038000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT000000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012010 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012020 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512./4 |
| Edition number | 23 |
| 084 ## - OTHER CLASSIFICATION NUMBER | |
| Classification number | SI 830 |
| Number source | rvk |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hrushovski, Ehud, |
| Dates associated with a name | 1959- |
| Relator term | author. |
| 9 (RLIN) | 64664 |
| 245 10 - TITLE STATEMENT | |
| Title | Non-archimedean tame topology and stably dominated types / |
| Statement of responsibility, etc. | Ehud Hrushovski, Fran�cois Loeser. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Princeton : |
| Name of producer, publisher, distributor, manufacturer | Princeton University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | �2016 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (vii, 216 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
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| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Annals of mathematics studies ; |
| Volume/sequential designation | number 192 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (pages 207-210) and index. |
| 588 0# - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Vendor-supplied metadata. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 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. |
| 546 ## - LANGUAGE NOTE | |
| Language note | In English. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Linkage | 880-01 |
| Title | Frontmatter -- |
| -- | Contents -- |
| -- | 1. Introduction -- |
| -- | 2. Preliminaries -- |
| -- | 3. The space �v of stably dominated types -- |
| -- | 4. Definable compactness -- |
| -- | 5. A closer look at the stable completion -- |
| -- | 6. [Gamma]-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. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | IEEE |
| Provenance (VM) [OBSOLETE] | IEEE Xplore Princeton University Press eBooks Library |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Tame algebras. |
| 9 (RLIN) | 64665 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Alg�ebres r�eguli�eres. |
| 9 (RLIN) | 64666 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Algebra |
| -- | Intermediate. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 64159 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS |
| General subdivision | Topology. |
| Source of heading or term | bisacsh |
| 9 (RLIN) | 14301 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Tame algebras. |
| Source of heading or term | fast |
| Authority record control number or standard number | (OCoLC)fst01142421 |
| 9 (RLIN) | 64665 |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic book. |
| 9 (RLIN) | 7794 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
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| Genre/form data or focus term | Electronic books. |
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| 9 (RLIN) | 3294 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Loeser, Fran�cois, |
| Relator term | author. |
| 9 (RLIN) | 64667 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9780691161686 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Annals of mathematics studies ; |
| Volume/sequential designation | no. 192. |
| 9 (RLIN) | 64668 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ieeexplore.ieee.org/servlet/opac?bknumber=9452405">https://ieeexplore.ieee.org/servlet/opac?bknumber=9452405</a> |
| 880 00 - ALTERNATE GRAPHIC REPRESENTATION | |
| Linkage | 505-01/(S |
| t | Frontmatter -- |
| -- | Contents -- |
| -- | 1. Introduction -- |
| -- | 2. Preliminaries -- |
| -- | 3. The space �v of stably dominated types -- |
| -- | 4. Definable compactness -- |
| -- | 5. A closer look at the stable completion -- |
| -- | 6. (SD(B-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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