The Structure of the Real Line

＜Book＞
The Structure of the Real Line

Responsibility	Lev Bukovský
Series	Monografie matematyczne ; . New series ; v. 71
Material Type	Book
Publisher	[Basel] : Birkhäuser
Publisher	Basel : Springer Basel AG
Year	c2011
Language	English
Size	xiv, 536 p. ; 24 cm
Abstract	The rapid development of set theory in the last fifty years, mainly in obtaining plenty-of in dependence results, strongly influenced an understanding of the real line..This book is devoted to the stu...y of the real line and it's 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, descriptive set theory are revisited with the purpose to eliminate 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 it is shortly explained in the appendix. Each section contains a series of exercises with additional, results. Book jacket.show more
Electronic Version	https://hdl.handle.net/2324/7008668

Status	Volume	Location	Call No.	Printed	Collection Name	Barcode No.	Comments	Reserve	Copy	Automatic archive
		SciTech 3F Mathematical Books	BUKO/10/1	2011		033212011000776		Reserve			Reserve

Notes	Includes bibliographical references and index
Authors	Bukovský, Lev
Classification	SG:510
ID	1001446895
ISBN	9783034800051
NCID	BB05439603
Vol	ISBN:9783034800051
Created Date	2011.04.28
Modified Date	2017.02.18