Lev Bukovský

(Author)

The Structure of the Real Line (2011)Paperback - 2011, 21 April 2013

The Structure of the Real Line (2011)
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Part of Series
Monografie Matematyczne
Print Length
542 pages
Language
English
Publisher
Birkhauser
Date Published
21 Apr 2013
ISBN-10
3034803214
ISBN-13
9783034803212

Description

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.

Product Details

Author:
Lev Bukovský
Book Edition:
2011
Book Format:
Paperback
Country of Origin:
NL
Date Published:
21 April 2013
Dimensions:
22.86 x 15.49 x 3.3 cm
Genre:
Science/Technology Aspects
ISBN-10:
3034803214
ISBN-13:
9783034803212
Language:
English
Location:
Basel
Pages:
542
Publisher:
Weight:
771.11 gm

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