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Sinopsis
The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results.
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The rapid development of set theory in the last fifty years, mainly in obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, descriptive set theory are revisited with the purpose to eliminate superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind it is shortly explained in the appendix. Each section contains a series of exercises with additional results.
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The Structure of the Real Line
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Springer Basel, 2013
ISBN 10: 3034803214
ISBN 13: 9783034803212
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Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Gut. Zustand: Gut | Seiten: 556 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 23730407/3
Cantidad disponible: 1 disponibles
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The Structure of the Real Line
Publicado por
Springer Basel, 2013
ISBN 10: 3034803214
ISBN 13: 9783034803212
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 556 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 23730407/2
Cantidad disponible: 1 disponibles
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The Structure of the Real Line
Publicado por
Springer Basel, 2013
ISBN 10: 3034803214
ISBN 13: 9783034803212
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Kartoniert / Broschiert
Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Study of the real line taking into account recent results of set theory Self-contained, all necessary results being revisited Appendix with short explanation of the metamathematics behind set theory Execercises with additional results at the end of each sec. Nº de ref. del artículo: 4318192
Cantidad disponible: Más de 20 disponibles
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The Structure of the Real Line
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Springer Basel Apr 2013, 2013
ISBN 10: 3034803214
ISBN 13: 9783034803212
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results. 556 pp. Englisch. Nº de ref. del artículo: 9783034803212
Cantidad disponible: 2 disponibles
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The Structure of the Real Line
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The rapid development of set theory in the last fifty years, mainly by obtaining plenty of independence results, strongly influenced an understanding of the structure of the real line. This book is devoted to the study of the real line and its subsets taking into account the recent results of set theory. Whenever possible the presentation is done without the full axiom of choice. Since the book is intended to be self-contained, all necessary results of set theory, topology, measure theory, and descriptive set theory are revisited with the purpose of eliminating superfluous use of an axiom of choice. The duality of measure and category is studied in a detailed manner. Several statements pertaining to properties of the real line are shown to be undecidable in set theory. The metamathematics behind set theory is shortly explained in the appendix. Each section contains a series of exercises with additional results. Nº de ref. del artículo: 9783034803212
Cantidad disponible: 1 disponibles
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The Structure of the Real Line (Monografie Matematyczne, 71)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783034803212_new
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Bukovsk?:The Structure of the Real Line (eng)
Impresión bajo demandaLibrería: Brook Bookstore On Demand, Napoli, NA, Italia
Calificación del vendedor: 5 de 5 estrellas
Condición: new. Questo è un articolo print on demand. Nº de ref. del artículo: 888fe5188b28d17cedc40995dfb70a62
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The Structure of the Real Line
Publicado por
Springer Basel, Springer Basel Apr 2013, 2013
ISBN 10: 3034803214
ISBN 13: 9783034803212
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -RezensionFrom the reviews:'The history of investigations of real numbers is the starting point of this monograph. Every chapter is supplied with a well-chosen series of exercises containing interesting complementary material. This unique monograph presents beautiful scientific work prepared in a professional style and built upon a number of references to prominent mathematicians living in previous epochs. A wide variety of researchers and students will find in it a large. attractive body of knowledge that should be highly inspiring in their work.' (Marek Balcerzak, Mathematical Reviews, Issue 2012 d)'The book under review is addressed to experts and begins to address some of the questions about the complexities of the real line. The author provides an appendix with background material on set theory, algebra, topology and metamathematics.' (William J. Satzer, The Mathematical Association of America, August, 2011)Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 556 pp. Englisch. Nº de ref. del artículo: 9783034803212
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The Structure of the Real Line
Librería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 2011 edition. 556 pages. 9.25x6.10x0.73 inches. In Stock. Nº de ref. del artículo: x-3034803214
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The Structure of the Real Line (Monografie Matematyczne, 71)
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: ABLIING23Mar3113020037706
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