The Structure of the Real Line


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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 ...

The Structure of the Real Line 2013, Springer Basel

ISBN-13: 9783034803212

2011 edition


The Structure of the Real Line 2011, Birkhauser

ISBN-13: 9783034800051