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Dover Books On Mathematics - Applications Of Model Theory To Functional Analysis (Cód: 9349619)

Iovino,Jose

Dover Publications Usa

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Dover Books On Mathematics - Applications Of Model Theory To Functional Analysis

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Descrição

During the last two decades, methods that originated within mathematical logic have exhibited powerful applications to Banach space theory, particularly set theory and model theory. This volume constitutes the first self-contained introduction to techniques of model theory in Banach space theory. The area of research has grown rapidly since this monograph's first appearance, but much of this material is still not readily available elsewhere. For instance, this volume offers a unified presentation of Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces, with emphasis on the connection between these results and basic model-theoretic notions such as types, indiscernible sequences, and ordinal ranks.Suitable for advanced undergraduates and graduate students of mathematics, this exposition does not presuppose expertise in either model theory or Banach space theory. Numerous exercises and historical notes supplement the text. During the last two decades, methods that originated within mathematical logic have exhibited powerful applications to Banach space theory, particularly set theory and model theory. This volume constitutes the first self-contained introduction to techniques of model theory in Banach space theory. The area of research has grown rapidly since this monograph's first appearance, but much of this material is still not readily available elsewhere. For instance, this volume offers a unified presentation of Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces, with emphasis on the connection between these results and basic model-theoretic notions such as types, indiscernible sequences, and ordinal ranks.Suitable for advanced undergraduates and graduate students of mathematics, this exposition does not presuppose expertise in either model theory or Banach space theory. Numerous exercises and historical notes supplement the text.Dover (2014) republication of the text originally used for the minicourse ''Ultraproductos en Analisis' 'at the II Escuela de Matematicas de America Latina y el Caribe and the XV Escuela Venezolana de Matematicas, September 8-14, 2002, Merida, Venezuela.See every Dover book in print atwww.doverpublications.com

Características

Produto sob encomenda Sim
Marca Dover Publications Usa
Cód. Barras 9780486780849
Altura 21.08 cm
I.S.B.N. 9780486780849
Profundidade 0.76 cm
Referência 026460480
Acabamento Brochura
Ano da edição 2014
Idioma Inglês
Número de Páginas 112
Peso 0.14 Kg
Largura 13.72 cm
AutorIovino,Jose