<Book>
The Structure of the Real Line
Responsibility | Lev Bukovský |
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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 |
Holdings
Status | Volume | Location | Call No. | Printed | Collection Name | Barcode No. | Comments | Reserve | Copy | Automatic archive |
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|
SciTech 3F Mathematical Books | BUKO/10/1 | 2011 |
|
033212011000776 |
|
Bibliographic details
Notes | Includes bibliographical references and index |
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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 |