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001    ocn933388580 
003    OCoLC 
005    20170428043432.2 
006    m     o  d         
007    cr cnu|||unuuu 
008    151223s2016    nju     ob    001 0 eng d 
019    957614707 
020    9781400881222|qelectronic book 
020    1400881226|qelectronic book 
020    |z9780691161693 
020    |z9780691161686 
024 7  10.1515/9781400881222|2doi 
035    (OCoLC)933388580|z(OCoLC)957614707 
037    22573/ctt193cj76|bJSTOR 
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049    RIDW 
050  4 QA251.5|b.H78 2016eb 
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072  7 MAT000000|2bisacsh 
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090    QA251.5|b.H78 2016eb 
100 1  Hrushovski, Ehud,|d1959-|0https://id.loc.gov/authorities/
       names/n2002014399|eauthor. 
245 10 Non-archimedean tame topology and stably dominated types /
       |cEhud Hrushovski, François Loeser. 
264  1 Princeton :|bPrinceton University Press,|c2016. 
300    1 online resource (vii, 216 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
340    |gpolychrome|2rdacc 
347    text file|2rdaft 
490 1  Annals of mathematics studies ;|vnumber 192 
504    Includes bibliographical references (pages 207-210) and 
       index. 
520    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    In English. 
588 0  Vendor-supplied metadata. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Tame algebras.|0https://id.loc.gov/authorities/subjects/
       sh86005677 
650  7 Tame algebras.|2fast|0https://id.worldcat.org/fast/1142421
655  4 Electronic books. 
700 1  Loeser, François,|0https://id.loc.gov/authorities/names/
       no98065663|eauthor. 
830  0 Annals of mathematics studies ;|0https://id.loc.gov/
       authorities/names/n42002129|vno. 192. 
856 40 |uhttps://rider.idm.oclc.org/login?url=http://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=1090926|zOnline eBook. Access restricted to 
       current Rider University students, faculty, and staff. 
856 42 |3Instructions for reading/downloading this eBook|uhttp://
       guides.rider.edu/ebooks/ebsco 
901    MARCIVE 20231220 
948    |d20170505|cEBSCO|tebscoebooksacademic new|lridw 
994    92|bRID