The Structure of the Real Line

Language: English

Published by Springer Basel, CH, 2011

3034800053 / 9783034800051

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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.

Seller Inventory # LU-9783034800051

Title
The Structure of the Real Line
Author
Lev Bukovský
Publisher
Springer Basel, CH
Publication year
2011
Condition
New
Binding
Hardback
Language
English
ISBN 10
3034800053
ISBN 13
9783034800051
Edition
2011th.
Item weight
907 grams
Dimensions
15.75 x 3.3 x 23.37 cm

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