The Structure of the Real Line is popular PDF and ePub book, written by Lev Bukovský in 2011-03-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Structure of the Real Line can be Read Online from any device for your convenience.
The Structure of the Real Line Book PDF Summary
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.
Detail Book of The Structure of the Real Line PDF
- Author : Lev Bukovský
- Release : 02 March 2011
- Publisher : Springer Science & Business Media
- ISBN : 9783034800068
- Genre : Mathematics
- Total Page : 546 pages
- Language : English
- PDF File Size : 15,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Structure of the Real Line by Lev Bukovský, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.