Overview
- 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 section
- Includes supplementary material: sn.pub/extras
Part of the book series: Monografie Matematyczne (MONOGRAFIE, volume 71)
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Table of contents (11 chapters)
Keywords
About this book
Reviews
From 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)
Authors and Affiliations
Bibliographic Information
Book Title: The Structure of the Real Line
Authors: Lev Bukovský
Series Title: Monografie Matematyczne
DOI: https://doi.org/10.1007/978-3-0348-0006-8
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Spinger Basel AG 2011
Hardcover ISBN: 978-3-0348-0005-1Published: 04 March 2011
Softcover ISBN: 978-3-0348-0321-2Published: 21 April 2013
eBook ISBN: 978-3-0348-0006-8Published: 02 March 2011
Series ISSN: 0077-0507
Series E-ISSN: 2297-0274
Edition Number: 1
Number of Pages: XIV, 542
Topics: Analysis