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An Introduction to Stability Theory (Dover Books on Mathematics) - Softcover

Buch 205 von 303: Dover Books on Mathematics

Pillay, Anand

 
9780486468969: An Introduction to Stability Theory (Dover Books on Mathematics)
Softcover
ISBN 10: 0486468968 ISBN 13: 9780486468969
Verlag: DOVER PUBN INC, 2008

Inhaltsangabe

This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.

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Verlag
DOVER PUBN INC
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0486468968
ISBN 13 
9780486468969
Einband
Taschenbuch
Anzahl der Seiten
146
Kontakt zum Hersteller
Nicht verfügbar
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