portada an introduction to stability theory (en Inglés)

an introduction to stability theory (en Inglés)

Formato

Libro Físico

Autor

Anand Pillay

Editorial

Dover Publications

Idioma

Inglés

N° páginas

146

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x1 cm

Peso

0.20 kg.

ISBN

0486468968

ISBN13

9780486468969

Categorías

Lógica matemática
Cálculo diferencial y ecuaciones

an introduction to stability theory (en Inglés)

Anand Pillay (Autor) · Dover Publications · Tapa Blanda

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Reseña del libro "an introduction to stability theory (en Inglés)"

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.