Algebraic Model Theory

Bradd T. Hart, A. Lachlan, Matthew A. Valeriote (Herausgeber)

Buch | Softcover

277 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1997
Springer (Verlag)
978-90-481-4884-4 (ISBN)

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Recent major advances in model theory include connections between model theory and Diophantine and real analytic geometry, permutation groups, and finite algebras. The present book contains lectures on recent results in algebraic model theory, covering topics from the following areas: geometric model theory, the model theory of analytic structures, permutation groups in model theory, the spectra of countable theories, and the structure of finite algebras.
Audience: Graduate students in logic and others wishing to keep abreast of current trends in model theory. The lectures contain sufficient introductory material to be able to grasp the recent results presented.

An introduction to independence and local modularity.- Groups definable in ACFA.- Large finite structures with few types.- A survey of the uncountable spectra of countable theories.- An introduction to tame congruence theory.- Stable finitely homogeneous structures: a survey.- Homogeneous and smoothly approximated structures.- Khovanskii’s Theorem.- ACFA and the Manin-Mumford conjecture.- Decidable equational classes.- Schanuel’s conjecture and the decidability of the real exponential field.- Three lectures on the RS problem.- Decidable modules.

Erscheint lt. Verlag	7.12.2010
Reihe/Serie	NATO Science Series C ; 496
Zusatzinfo	XVII, 277 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	160 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	90-481-4884-7 / 9048148847
ISBN-13	978-90-481-4884-4 / 9789048148844
Zustand	Neuware