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Towards a Model Theory of Almost Com...

ProQuest Information and Learning Co.

Towards a Model Theory of Almost Complex Manifolds.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Towards a Model Theory of Almost Complex Manifolds./
Author:	Wan, Michael Wing Hei.
Description:	1 online resource (66 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-11(E), Section: A.
Contained By:	Dissertation Abstracts International78-11A(E).
Subject:	Logic. -
Online resource:	click for full text (PQDT)
ISBN:	9780355033113

Towards a Model Theory of Almost Complex Manifolds.
Wan, Michael Wing Hei.

Towards a Model Theory of Almost Complex Manifolds. - 1 online resource (66 pages)

Source: Dissertation Abstracts International, Volume: 78-11(E), Section: A.

Thesis (Ph.D.)

Includes bibliographical references

We develop notions of "almost complex analytic subsets" of almost complex manifolds, modelled after complex analytic subsets of complex manifolds. Basic analytic-geometric results are presented, including an identity principle for almost complex maps, and a proof that the singular locus of an almost complex analytic set is itself an "equational" almost complex analytic set, under certain conditions.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355033113Subjects--Topical Terms:

558909
Logic.
Index Terms--Genre/Form:

554714
Electronic books.

Towards a Model Theory of Almost Complex Manifolds.
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008 190606s2017 xx obm 000 0 eng d
020 $a 9780355033113
035 $a (MiAaPQ)AAI10280380
035 $a (MiAaPQ)berkeley:16886
035 $a AAI10280380
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Wan, Michael Wing Hei. $3 1180740
245 1 0 $a Towards a Model Theory of Almost Complex Manifolds.
264 0 $c 2017
300 $a 1 online resource (66 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-11(E), Section: A.
500 $a Adviser: Thomas Scanlon.
502 $a Thesis (Ph.D.) $c University of California, Berkeley $d 2017.
504 $a Includes bibliographical references
520 $a We develop notions of "almost complex analytic subsets" of almost complex manifolds, modelled after complex analytic subsets of complex manifolds. Basic analytic-geometric results are presented, including an identity principle for almost complex maps, and a proof that the singular locus of an almost complex analytic set is itself an "equational" almost complex analytic set, under certain conditions.
520 $a This work is partly motivated by geometric model theory. B. Zilber observed that a compact complex manifold, equipped with the logico-topological structure given by its complex analytic subsets, satisfies the axioms for a so-called "Zariski geometry", kick-starting a fruitful model-theoretic study of complex manifolds. Our results point towards a natural generalization of Zilber's theorem to almost complex manifolds, using our notions of almost complex analytic subset. We include a discussion of progress towards this goal.
520 $a Our development draws inspiration from Y. Peterzil and S. Starchenko's theory of nonstandard complex analytic geometry. We work primarily in the real analytic setting.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Logic. $3 558909
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0395
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of California, Berkeley. $b Logic and the Methodology of Science. $3 1180741
773 0 $t Dissertation Abstracts International $g 78-11A(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10280380 $z click for full text (PQDT)

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