The structure of the real line
The rapid development of set theory in the last fifty years, mainly in 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 th...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2011. |
| Colección: | Monografie Matematyczne
71 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 25 avril 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The structure of the real line, Lev Bukovský, Basel, Springer, 2011, 1 vol. (XIV-536), Monografie Matematyczne, 978-3-03-480005-1 • The Structure of the Real Line, Texte imprimé, 9783034803212 • The Structure of the Real Line, Texte imprimé, 9783034800075 |
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| 100 | 1 | |a Bukovský, Lev, |d 1939-2021. | |
| 245 | 1 | 0 | |a The structure of the real line |c Lev Bukovský. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Monografie Matematyczne |v 71 |x 2297-0274 | |
| 500 | |a Description d'après consultation du 25 avril 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preface 1 Introduction 2 The Real Line 3 Topology of Euclidean Spaces 4 Measure Theory 5 Useful Tools and Technologies 6 Descriptive Set Theory 7 Decline and Fall of the Duality 8 Special Sets of Reals 9 Additional Axioms 10 Undecidable Statements 11 Appendix Bibliography Index of Notation Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The rapid development of set theory in the last fifty years, mainly in 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, 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 | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 776 | 0 | |0 151760748 |t The structure of the real line |f Lev Bukovský |c Basel |n Springer |d 2011 |p 1 vol. (XIV-536) |s Monografie Matematyczne |z 978-3-03-480005-1 | |
| 776 | 0 | |t The Structure of the Real Line |b Texte imprimé |z 9783034803212 | |
| 776 | 0 | |t The Structure of the Real Line |b Texte imprimé |z 9783034800075 | |
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