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The Structure of the Real Line Books

  • Autor: Lev Bukovsky
  • Editor: Springer Basel
  • Relaese Date: 19 April 2013
  • ISBN: 3034803214
  • Format Book: PDF, Epub, DOCx, TXT
  • Number of page: 542 pages
  • File Size: 15MB
  • Rating:


Description The Structure of the Real Line de Lev Bukovsky:

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. Information regarding this writer can't be located or maybe continues to be taken out at the inquire with the author. You could may very well be considering different books from the Lev Bukovsky. We were in the position to collect the vast majority of almost all iformatsii for yourself. With regard to writers: this site won't include community entry your current ebooks on our pages merely preliminary more knowledge about it. If you feel our site is definitely infringing, you need to email united states about this and if you are really the writer of these books, we're going to quickly get rid of pages from your web site.


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