The Structure of the Real Line - Couverture rigide

Bukovský, Lev

Couverture rigide

ISBN 10 : 3034800053 ISBN 13 : 9783034800051

Editeur : Springer Basel, 2011

Synopsis

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.

Détails de l'édition

• Éditeur: Springer Basel
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 3034800053
• ISBN 13: 9783034800051
• Reliure: Relié
• Nombre de pages: 556
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne